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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210406T090000
DTEND;TZID=America/New_York:20210427T103000
DTSTAMP:20250409T192611Z
CREATED:20230707T171215Z
LAST-MODIFIED:20250409T192611Z
UID:10000908-1617699600-1619519400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch\, and Singer
DESCRIPTION:In 2021\, the CMSA hosted a lecture series on the literature of the mathematical sciences. This series highlights significant accomplishments in the intersection between mathematics and the sciences. Speakers include Edward Witten\, Lydia Bieri\, Simon Donaldson\, Michael Freedman\, Dan Freed\, and many more. \nVideos of these talks can be found in this Youtube playlist. \n \nIn the Spring 2021 semester\, the CMSA hosted a sub-program on this series titled A Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch and Singer. Below is the schedule for talks in that subprogram \nApril 6\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nEdward Witten (IAS) \nTitle: Isadore Singer’s Work on Analytic Torsion\n\n\n\n\n\nApril 13\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nClaire Voisin (College de France) \nTitle: K-theory and characteristic classes in topology and complex geometry  (a tribute to Atiyah and Hirzebruch)\n\n\n\n\n\nApril 20\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nDan Freed (the University of Texas at Austin) \nTitle: The Atiyah-Singer Index Theorem\n\n\n\n\n\nApril 27\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nFrances Kirwan (University of Oxford) \nTitle: Moment maps and the Yang-Mills functional
URL:https://live-hu-cmsa-222.pantheonsite.io/event/memorial-conference-for-the-founders-of-index-theory-atiyah-bott-hirzebruch-and-singer/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Special Lectures
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210406T090000
DTEND;TZID=America/New_York:20210406T103000
DTSTAMP:20250328T201336Z
CREATED:20230707T115709Z
LAST-MODIFIED:20250328T201336Z
UID:10000907-1617699600-1617705000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Isadore Singer’s Work on Analytic Torsion
DESCRIPTION:Edward Witten (IAS) \nTitle: Isadore Singer’s Work on Analytic Torsion \nAbstract:  I will review two famous papers of Ray and Singer on analytic torsion written approximately half a century ago. Then I will sketch the influence of analytic torsion in a variety of areas of physics including anomalies\, topological field theory\, and string theory. \nThis talk is part of a subprogram of the Mathematical Science Literature Lecture series\, a Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch\, and Singer. \nTalk chair: Cumrun Vafa \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_witten-2/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Witten.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210330T090000
DTEND;TZID=America/New_York:20210330T223000
DTSTAMP:20250305T210259Z
CREATED:20230707T115407Z
LAST-MODIFIED:20250305T210259Z
UID:10000906-1617094800-1617143400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: On the History of quantum cohomology and homological mirror symmetry
DESCRIPTION:Maxim Kontsevich  (IHÉS) \nTitle: On the History of quantum cohomology and homological mirror symmetry \nAbstract: About 30 years ago\, string theorists made remarkable discoveries of hidden structures in algebraic geometry.  First\, the usual cup-product on the cohomology of a complex projective variety admits a canonical multi-parameter deformation to so-called quantum product\, satisfying a nice system of differential equations (WDVV equations).  The second discovery\, even more striking\,  is Mirror Symmetry\, a duality between families of Calabi-Yau varieties acting as a mirror reflection on the Hodge diamond. \nLater it was realized that the quantum product belongs to the realm of symplectic geometry\, and a half of mirror symmetry (called Homological Mirror Symmetry) is a duality between complex algebraic and symplectic varieties. The search of correct definitions and possible generalizations lead to great advances in many domains\, giving mathematicians new glasses\, through which they can see familiar objects in a completely new way. \nI will review the history of major mathematical advances in the subject of HMS\, and the swirl of ideas around it. \nTalk chair: Paul Seidel \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_kontsevich/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Kontsevich-.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210223T090000
DTEND;TZID=America/New_York:20210223T103000
DTSTAMP:20240103T093827Z
CREATED:20230707T115234Z
LAST-MODIFIED:20240103T093827Z
UID:10000905-1614070800-1614076200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Homological (homotopical) algebra and moduli spaces in Topological Field theories
DESCRIPTION:Kenji Fukaya (Simons Center for Geometry and Physics) \nTitle: Homological (homotopical) algebra and moduli spaces in Topological Field theories \nAbstract: Moduli spaces of various gauge theory equations and of various versions of (pseudo) holomorphic curve equations have played important role in geometry in these 40 years. Started with Floer’s work people start to obtain more sophisticated object such as groups\, rings\, or categories from (system of) moduli spaces. I would like to survey some of those works and the methods to study family of moduli spaces systematically. \nTalk chair: Peter Kronheimer \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_fukaya/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Fukaya-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210127T090000
DTEND;TZID=America/New_York:20210127T103000
DTSTAMP:20250328T200938Z
CREATED:20230707T114914Z
LAST-MODIFIED:20250328T200938Z
UID:10000904-1611738000-1611743400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Discrepancy Theory and Randomized Controlled Trials
DESCRIPTION:Dan Spielman (Yale University) \nTitle: Discrepancy Theory and Randomized Controlled Trials \nAbstract: Discrepancy theory tells us that it is possible to partition vectors into sets so that each set looks surprisingly similar to every other.  By “surprisingly similar” we mean much more similar than a random partition. I will begin by surveying fundamental results in discrepancy theory\, including Spencer’s famous existence proofs and Bansal’s recent algorithmic realizations of them. Randomized Controlled Trials are used to test the effectiveness of interventions\, like medical treatments. Randomization is used to ensure that the test and control groups are probably similar.  When we know nothing about the experimental subjects\, uniform random assignment is the best we can do. When we know information about the experimental subjects\, called covariates\, we can combine the strengths of randomization with the promises of discrepancy theory. This should allow us to obtain more accurate estimates of the effectiveness of treatments\, or to conduct trials with fewer experimental subjects. I will introduce the Gram-Schmidt Walk algorithm of Bansal\, Dadush\, Garg\, and Lovett\, which produces random solutions to discrepancy problems. I will then explain how Chris Harshaw\, Fredrik Sävje\, Peng Zhang\, and I use this algorithm to improve the design of randomized controlled trials. Our Gram-Schmidt Walk Designs have increased accuracy when the experimental outcomes are correlated with linear functions of the covariates\, and are comparable to uniform random assignments in the worst case. \nTalk chair: Salil Vadhan \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_spielman/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_-Spielman-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210113T090000
DTEND;TZID=America/New_York:20210113T103000
DTSTAMP:20250305T210038Z
CREATED:20230707T114651Z
LAST-MODIFIED:20250305T210038Z
UID:10000903-1610528400-1610533800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Quantum topology and new types of modularity
DESCRIPTION:Don Zagier (Max Planck Institute for Mathematics and International Centre for Theoretical Physics) \nTitle: Quantum topology and new types of modularity \nAbstract: The talk concerns two fundamental themes of modern 3-dimensional topology and their unexpected connection with a theme coming from number theory. A deep insight of William Thurston in the mid-1970s is that the vast majority of complements of knots in the 3-sphere\, or more generally of 3-manifolds\, have a unique metric structure as hyperbolic manifolds of constant curvature -1\, so that 3-dimensional topology is in some sense not really a branch of topology at all\, but of differential geometry. In a different direction\, the work of Vaughan Jones and Ed Witten in the late 1980s gave rise to the field of Quantum Topology\, in which new types of invariants of knot complements and 3-manifolds are introduced that have their origins in ideas coming from quantum field theory. These two themes then became linked by Kashaev’s famous Volume Conjecture\, now some 25 years old\, which says that the Kashaev invariant _N of a hyperbolic knot K (this is a quantum invariant defined for each positive integer N and whose values are algebraic numbers) grows exponentially as N tends to infinity with an exponent proportional to the hyperbolic volume of the knot complement. About 10 years ago\, I was led by numerical experiments to the discovery that Kashaev’s invariant could be upgraded to an invariant having rational numbers as its argument (with the original invariant being the value at 1/N) and that the Volume Conjecture then became part of a bigger story saying that the new invariant has some sort of strange transformation property under the action x -> (ax+b)/(cx+d) of the modular group SL(2\,Z) on the argument. This turned out to be only the beginning of a fascinating and multi-faceted story relating quantum invariants\, q-series\, modularity\, and many other topics. In the talk\, which is intended for a general mathematical audience\, I would like to recount some parts of this story\, which is joint work with Stavros Garoufalidis (and of course involving contributions from many other authors). The “new types of modularity” in the title refer to a specific byproduct of these investigations\, namely that there is a generalization of the classical notion of holomorphic modular form – which plays an absolutely central role in modern number theory – to a new class of holomorphic functions in the upper half-plane that no longer satisfy a transformation law under the action of the modular group\, but a weaker extendability property instead. This new class\, called “holomorphic quantum modular forms”\, turns out to contain many other functions of a more number-theoretical nature as well as the original examples coming from quantum invariants. \nTalk chair: Mark Kisin \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_zagier/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_-Zagier.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201204T080000
DTEND;TZID=America/New_York:20201204T093000
DTSTAMP:20240216T211848Z
CREATED:20230707T114517Z
LAST-MODIFIED:20240216T211848Z
UID:10000902-1607068800-1607074200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Michael Atiyah: Geometry and Physics
DESCRIPTION:Nigel Hitchin (University of Oxford) \nTitle: Michael Atiyah: Geometry and Physics \nAbstract: In mid-career\, as an internationally renowned mathematician\, Michael Atiyah discovered that some problems in physics responded to current work in algebraic geometry and this set him on a path to develop an active interface between mathematics and physics which was formative in the links which are so active today. The talk will focus\, in a fairly basic fashion\, on some examples of this interaction\, which involved both applying physical ideas to solve mathematical problems and introducing mathematical ideas to physicists. \nTalk chair: Peter Kronheimer \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_hitchin/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Hitchin-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201202T080000
DTEND;TZID=America/New_York:20201202T093000
DTSTAMP:20250409T192441Z
CREATED:20230707T114306Z
LAST-MODIFIED:20250409T192441Z
UID:10000901-1606896000-1606901400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Is relativity compatible with quantum theory?
DESCRIPTION:Arthur Jaffe (Harvard University) \nTitle: Is relativity compatible with quantum theory? \nAbstract: We review the background\, mathematical progress\, and open questions in the effort to determine whether one can combine quantum mechanics\, special relativity\, and interaction together into one mathematical theory. This field of mathematics is known as “constructive quantum field theory.”  Physicists believe that such a theory describes experimental measurements made over a 70 year period and now refined to 13-decimal-point precision—the most accurate experiments ever performed. \nTalk chair: Zhengwei Liu \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_jaffe/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Jaffe-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201125T090000
DTEND;TZID=America/New_York:20201125T103000
DTSTAMP:20250328T200913Z
CREATED:20230707T114042Z
LAST-MODIFIED:20250328T200913Z
UID:10000900-1606294800-1606300200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Theorems of Torelli type
DESCRIPTION:Eduard Jacob Neven Looijenga (Tsinghua University & Utrecht University) \nTitle: Theorems of Torelli type \nAbstract: Given a closed manifold of even dimension 2n\, then Hodge showed around 1950 that a  kählerian complex structure on that manifold determines a decomposition of its complex cohomology. This decomposition\, which can potentially vary continuously with the complex structure\, extracts from a non-linear given\,  linear data. It can contain a lot of information. When there is essentially no loss of data in this process\, we say that the Torelli theorem holds.  We review the underlying theory and then survey some cases where this is the case. This will include the classical case n=1\, but the emphasis will be on K3 manifolds (n=2) and more generally\, on hyperkählerian manifolds. These cases stand out\, since one can then also tell which decompositions occur. \nTalk chair: Gerard van der Geer \nVideo 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_looijenga/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Looijenga-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201123T100000
DTEND;TZID=America/New_York:20201123T113000
DTSTAMP:20250328T200851Z
CREATED:20230707T113517Z
LAST-MODIFIED:20250328T200851Z
UID:10000898-1606125600-1606131000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Subfactors–in Memory of Vaughan Jones
DESCRIPTION:Zhengwei Liu (Tsinghua University) \nTitle: Subfactors–in Memory of Vaughan Jones \nAbstract: Jones initiated modern subfactor theory in the early 1980s and investigated this area for his whole academic life. Subfactor theory has both deep and broad connections with various areas in mathematics and physics. One well-known peak in the development of subfactor theory is the discovery of the Jones polynomial\, for which Jones won the Fields Medal in 1990. Let us travel back to the dark room at the beginning of the story\, to appreciate how radically our viewpoint has changed. \nTalk chair: Arthur Jaffe \nSlides | Video 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_liu/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Liu-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201123T080000
DTEND;TZID=America/New_York:20201123T093000
DTSTAMP:20250328T200904Z
CREATED:20230707T113744Z
LAST-MODIFIED:20250328T200904Z
UID:10000899-1606118400-1606123800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Noncommutative Geometry\, the Spectral Aspect
DESCRIPTION:Alain Connes (Collège de France) \nTitle: Noncommutative Geometry\, the Spectral Aspect \nAbstract: This talk will be a survey of the spectral side of noncommutative geometry\, presenting the new paradigm of spectral triples and showing its relevance for the fine structure of space-time\, its large scale structure and also in number theory in connection with the zeros of the Riemann zeta function. \nTalk chair: Peter Kronheimer \nVideo 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_connes/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Connes-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201120T080000
DTEND;TZID=America/New_York:20201120T093000
DTSTAMP:20250328T200635Z
CREATED:20230707T113302Z
LAST-MODIFIED:20250328T200635Z
UID:10000897-1605859200-1605864600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Homotopy spectra and Diophantine equations
DESCRIPTION:Yuri Manin (Max Planck Institute for Mathematics) \nTitle: Homotopy spectra and Diophantine equations \nAbstract: For a long stretch of time in the history of mathematics\, Number Theory and Topology formed vast\, but disjoint domains of mathematical knowledge. Origins of number theory can be traced back to the Babylonian clay tablet Plimpton 322 (about 1800 BC)  that contained a list of integer solutions of the “Diophantine” equation $a^2+b^2=c^2$: archetypal theme of number theory\, named after Diophantus of Alexandria (about 250 BC). Topology was born much later\, but arguably\, its cousin — modern measure theory\, — goes back to Archimedes\, author of Psammites (“Sand Reckoner”)\, who was approximately a contemporary of Diophantus. In modern language\, Archimedes measures the volume of observable universe by counting the number of small grains of sand necessary to fill this volume. Of course\, many qualitative geometric models and quantitative estimates of the relevant distances precede his calculations. Moreover\, since the estimated numbers of grains of sand are quite large (about $10^{64}$)\, Archimedes had to invent and describe a system of notation for large numbers going far outside the possibilities of any of the standard ancient systems. The construction of the first bridge between number theory and topology was accomplished only about fifty years ago: it is the theory of spectra in stable homotopy theory. In particular\, it connects $Z$\, the initial object in the theory of commutative rings\, with the sphere spectrum $S$. This connection poses the challenge: discover a new information in number theory using the developed independently machinery of homotopy theory. In this talk based upon the authors’ (Yu. Manin and M. Marcolli) joint research project\, I suggest to apply homotopy spectra to the problem of distribution of rational points upon algebraic manifolds. \nTalk chair: Michael Hopkins \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_manin/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Manin-2-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201118T080000
DTEND;TZID=America/New_York:20201118T093000
DTSTAMP:20250328T201157Z
CREATED:20230707T113020Z
LAST-MODIFIED:20250328T201157Z
UID:10000896-1605686400-1605691800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Log Calabi-Yau fibrations
DESCRIPTION:Caucher Birkar (University of Cambridge) \nTitle: Log Calabi-Yau fibrations \nAbstract: Fano and Calabi-Yau varieties play a fundamental role in algebraic geometry\, differential geometry\, arithmetic geometry\, mathematical physics\, etc. The notion of log Calabi-Yau fibration unifies Fano and Calabi-Yau varieties\, their fibrations\, as well as their local birational counterparts such as flips and singularities. Such fibrations can be examined from many different perspectives. The purpose of this talk is to introduce the theory of log Calabi-Yau fibrations\, to remind some known results\, and to state some open problems. \nVideo \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_birkar/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Birkar-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201116T080000
DTEND;TZID=America/New_York:20201116T093000
DTSTAMP:20250328T200750Z
CREATED:20230707T112758Z
LAST-MODIFIED:20250328T200750Z
UID:10000895-1605513600-1605519000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Classical and quantum integrable systems in enumerative geometry
DESCRIPTION:Andrei Okounkov (Columbia University) \nTitle: Classical and quantum integrable systems in enumerative geometry \nAbstract: For more than a quarter of a century\, thanks to the ideas and questions originating in modern high-energy physics\, there has been a very fruitful interplay between enumerative geometry and integrable system\, both classical and quantum. While it is impossible to summarize even the most important aspects of this interplay in one talk\, I will try to highlight a few logical points with the goal to explain the place and the role of certain more recent developments. \nTalk chair: Cumrun Vafa \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_okounkov/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Okounkov-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201113T080000
DTEND;TZID=America/New_York:20201113T093000
DTSTAMP:20250328T201252Z
CREATED:20230707T112548Z
LAST-MODIFIED:20250328T201252Z
UID:10000145-1605254400-1605259800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Knot Invariants From Gauge Theory in Three\, Four\, and Five Dimensions
DESCRIPTION:Edward Witten (IAS) \nTitle: Knot Invariants From Gauge Theory in Three\, Four\, and Five Dimensions \nAbstract: I will explain connections between a sequence of theories in two\, three\, four\, and five dimensions and describe how these theories are related to the Jones polynomial of a knot and its categorification. \nTalk chair: Cliff Taubes \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_witten/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Witten-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201005T080000
DTEND;TZID=America/New_York:20201005T093000
DTSTAMP:20250328T200738Z
CREATED:20230707T112316Z
LAST-MODIFIED:20250328T200738Z
UID:10000144-1601884800-1601890200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Kunihiko Kodaira and complex manifolds
DESCRIPTION:Yujiro Kawamata (University of Tokyo) \nTitle: Kunihiko Kodaira and complex manifolds \nAbstract: Kodaira’s motivation was to generalize the theory of Riemann surfaces in Weyl’s book to higher dimensions.  After quickly recalling the chronology of Kodaira\, I will review some of Kodaira’s works in three sections on topics of harmonic analysis\, deformation theory and compact complex surfaces.  Each topic corresponds to a volume of Kodaira’s collected works in three volumes\, of which I will cover only tiny parts. \nTalk chair: Baohua Fu \nVideo 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_kawamata/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Kawamata-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201002T104500
DTEND;TZID=America/New_York:20201002T121500
DTSTAMP:20250328T200723Z
CREATED:20230707T112042Z
LAST-MODIFIED:20250328T200723Z
UID:10000143-1601635500-1601640900@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Birational geometry
DESCRIPTION:Vyacheslav V. Shokurov (Johns Hopkins University) \nTitle: Birational geometry \nAbstract: About main achievements in birational geometry during the last fifty years. \nTalk chair: Caucher Birkar \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_shokurov/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Shokurov-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200930T120000
DTEND;TZID=America/New_York:20200930T133000
DTSTAMP:20250328T200713Z
CREATED:20230707T111821Z
LAST-MODIFIED:20250328T200713Z
UID:10000142-1601467200-1601472600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Immersions of manifolds and homotopy theory
DESCRIPTION:Ralph Cohen (Stanford University) \nTitle: Immersions of manifolds and homotopy theory \nAbstract: The interface between the study of the topology of differentiable manifolds and algebraic topology has been one of the richest areas of work in topology since the 1950’s. In this talk I will focus on one aspect of that interface: the problem of studying embeddings and immersions of manifolds using homotopy theoretic techniques. I will discuss the history of this problem\, going back to the pioneering work of Whitney\, Thom\, Pontrjagin\, Wu\, Smale\, Hirsch\, and others. I will discuss the historical applications of this homotopy theoretic perspective\, going back to Smale’s eversion of the 2-sphere in 3-space. I will then focus on the problems of finding the smallest dimension Euclidean space into which every n-manifold embeds or immerses. The embedding question is still very much unsolved\, and the immersion question was solved in the 1980’s. I will discuss the homotopy theoretic techniques involved in the solution of this problem\, and contributions in the 60’s\, 70’s and 80’s of Massey\, Brown\, Peterson\, and myself. I will also discuss questions regarding the best embedding and immersion dimensions of specific manifolds\, such has projective spaces. Finally\, I will end by discussing more modern approaches to studying spaces of embeddings due to Goodwillie\, Weiss\, and others. This talk will be geared toward a general mathematical audience. \nTalk chair: Michael Hopkins \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_cohen/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Cohen-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200928T123000
DTEND;TZID=America/New_York:20200928T140000
DTSTAMP:20250328T201235Z
CREATED:20230707T111141Z
LAST-MODIFIED:20250328T201235Z
UID:10000141-1601296200-1601301600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: A personal story of the 4D Poincare conjecture
DESCRIPTION:Michael Freedman (Microsoft – Station Q) \nTitle: A personal story of the 4D Poincare conjecture \nAbstract:  The proof of PC4 involved the convergence of several historical streams.  To get started: high dimensional manifold topology (Smale)\, a new idea on how to study 4-manifolds (Casson)\, wild “Texas” topology (Bing). Once inside the proof: there are three submodules: Casson towers come to life (in the sense of reproduction)\, a very intricate explicit shrinking argument (provided by Edwards)\, and the “blind fold” shrinking argument (which in retrospect is in the linage of Brown’s proof of the Schoenflies theorem). Beyond those mentioned: Kirby\, Cannon\, Ancel\, Quinn\, and Starbird helped me understand my proof. I will discuss the main points and how they fit together. \nTalk Chair: Peter Kronheimer \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_freedman/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Freedman-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200928T090000
DTEND;TZID=America/New_York:20200928T121300
DTSTAMP:20250409T192348Z
CREATED:20230707T111622Z
LAST-MODIFIED:20250409T192348Z
UID:10001223-1601283600-1601295180@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: From Deep Learning to Deep Understanding
DESCRIPTION:Harry Shum (Tsinghua University) \nTitle: From Deep Learning to Deep Understanding \nAbstract: In this talk I will discuss a couple of research directions for robust AI beyond deep neural networks. The first is the need to understand what we are learning\, by shifting the focus from targeting effects to understanding causes. The second is the need for a hybrid neural/symbolic approach that leverages both commonsense knowledge and massive amount of data. Specifically\, as an example\, I will present some latest work at Microsoft Research on building a pre-trained grounded text generator for task-oriented dialog. It is a hybrid architecture that employs a large-scale Transformer-based deep learning model\,  and symbol manipulation modules such as business databases\, knowledge graphs and commonsense rules. Unlike GPT or similar language models learnt from data\, it is a multi-turn decision making system which takes user input\, updates the belief state\, retrieved from the database via symbolic reasoning\, and decides how to complete the task with grounded response. \nTalk chair: Shing-Tung Yau \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_shum/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Shum-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200925T090000
DTEND;TZID=America/New_York:20200925T103000
DTSTAMP:20250328T201132Z
CREATED:20230707T110951Z
LAST-MODIFIED:20250328T201132Z
UID:10000140-1601024400-1601029800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Area-minimizing integral currents and their regularity
DESCRIPTION:Camillo De Lellis (IAS) \nTitle: Area-minimizing integral currents and their regularity \nAbstract: Caccioppoli sets and integral currents (their generalization in higher codimension) were introduced in the late fifties and early sixties to give a general geometric approach to the existence of area-minimizing oriented surfaces spanning a given contour. These concepts started a whole new subject which has had tremendous impacts in several areas of mathematics: superficially through direct applications of the main theorems\, but more deeply because of the techniques which have been invented to deal with related analytical and geometrical challenges. In this lecture I will review the basic concepts\, the related existence theory of solutions of the Plateau problem\, and what is known about their regularity. I will also touch upon several fundamental open problems which still defy our understanding.  \nTalk Chair: William Minicozzi \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_delellis/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_DeLellis-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200923T090000
DTEND;TZID=America/New_York:20200930T090600
DTSTAMP:20250305T173846Z
CREATED:20230908T084412Z
LAST-MODIFIED:20250305T173846Z
UID:10000139-1600851600-1601456760@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Hodge structures and the topology of algebraic varieties
DESCRIPTION:Claire Voisin (Collège de France) \nTitle: Hodge structures and the topology of algebraic varieties \nAbstract: We review the major progress made since the 50’s in our understanding of the topology of complex algebraic varieties. Most of the results  we will discuss  rely on Hodge theory\, which  has some analytic aspects giving the Hodge and Lefschetz decompositions\, and the Hodge-Riemann relations. We will see that a crucial ingredient\, the existence of a polarization\,  is missing in the general Kaehler context. We will also discuss some results and problems related to algebraic cycles and motives. \nTalk chair: Joe Harris \nVideo | Slides | Article
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_voisin93020/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Voisin-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200910T142300
DTEND;TZID=America/New_York:20200910T142400
DTSTAMP:20250328T195904Z
CREATED:20230707T110803Z
LAST-MODIFIED:20250328T195904Z
UID:10000138-1599747780-1599747840@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Existence of Canonical Metrics on Non-Kähler Geometry
DESCRIPTION:On Wednesday September 9\, CMSA director Prof. Shing-Tung Yau gave a lecture for the Simons foundation on Existence of Canonical Metrics on Non-Kähler Geometry. \nIn this lecture\, Prof. Yau surveys the existence of canonical balanced metrics on non-Kähler complex manifolds through the Hull-Strominger system\, which was motivated by string theory on compactifications. He discusses works by Jun Li of Fudan University in Shanghai\, Ji-Xiang Fu of Fudan University\, Ivan Smith of the University of Cambridge\, Richard P. Thomas of Imperial College London\, Tristan C. Collins of the Massachusetts Institute of Technology\, French mathematician Émile Picard\, Teng Fei of Rutgers University in Newark\, New Jersey\, Adam Jacob of the University of California\, Davis\, and Duong H. Phong of Columbia University. \nMore information about this talk can be found on the Simons Foundation website.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/existence-of-canonical-metrics-on-non-kahler-geometry/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Yaus-talk-on-HS-systemfinal-version-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200902T103000
DTEND;TZID=America/New_York:20220202T120000
DTSTAMP:20240131T002143Z
CREATED:20240124T081657Z
LAST-MODIFIED:20240131T002143Z
UID:10001334-1599042600-1643803200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Strongly Correlated Quantum Materials and High-Temperature Superconductors Series
DESCRIPTION:In the 2020-2021 academic year\, the CMSA will be hosting a lecture series on Strongly Correlated Materials and High Tc Superconductor. All talks will take place from 10:30-12:00pm ET virtually on Zoom. \nCuprate high-temperature superconductors are a classic quantum material system to demonstrate the beauty of “Emergence and Entanglement” in the quantum phases of matter. Merely by adding more holes into an antiferromagnetic insulator\, several fascinating phases emerge\, including a d-wave superconductor\, a pseudo-gap metal\, and strange metal. After intensive studies from experimental\, theoretical\, and numerical communities for more than three decades\, remarkable progress has been made\, but basic questions remain: \n\nWhat is the origin of the superconductivity? What are the relative contributions of electron-phonon coupling\, spin fluctuations\, or resonating-valence-bonds?\nHow do we explain the pseudo-gap and the Fermi arc in the underdoped region above the critical temperature? Are they from some symmetry breaking order parameters\, or do we need an unconventional picture involving fractionalization?\nIs the strange metal at optimal doping associated with a quantum critical point? And if so\, what is the driving force of this phase transition?\n\nThe cuprate quantum materials have been a major source for many new concepts in modern condensed matter physics\, such as quantum spin liquids\, topological order\, and non-Fermi liquids. In the coming years\, it is clear that the study of the cuprates will continually motivate new concepts and development of new techniques. In this seminar series\, we hope to accelerate this process by bringing together deeper conversations between experimental\, theoretical\, and numerical experts with different backgrounds and perspectives. \nThe Strongly Correlated Quantum Materials and High-Temperature Superconductors series is a part of the Quantum Matter in Mathematics and Physics seminar. \nSeminar organizers: Juven Wang (Harvard CMSA) and Yahui Zhang (Harvard). \nScientific program advisors: Professor Subir Sachdev (Harvard)\, Professor Patrick Lee (MIT). \nIn order to learn how to attend this series\, please fill out this form. \nFor more information\, please contact Juven Wang (jw@cmsa.fas.harvard.edu) and Yahui Zhang (yahui_zhang@g.harvard.edu) \nSpring 2022\nApril 20\, 2022 | 11:30 – 1:00 pm ET \nHarold Y. Hwang (Stanford University & SLAC National Accelerator Laboratory) \nTitle: Superconductivity in infinite-layer nickelates \nAbstract: Since its discovery\, unconventional superconductivity in cuprates has motivated the search for materials with analogous electronic or atomic structure. We have used soft chemistry approaches to synthesize superconducting infinite layer nickelates from their perovskite precursor phase. We will present the synthesis and transport properties of the nickelates\, observation of a doping-dependent superconducting dome\, and our current understanding of their electronic and magnetic structure. \n\nFebruary 3\, 2022 | 11:30 – 1:00 pm ET \nLu Li (U Michigan) \nTitle: Quantum Oscillations of Electrical Resistivity in an Insulator \nAbstract: In metals\, orbital motions of conduction electrons are quantized in magnetic fields\, which is manifested by quantum oscillations in electrical resistivity. This Landau quantization is generally absent in insulators\, in which all the electrons are localized. Here we report a notable exception in an insulator — ytterbium dodecaboride (YbB12). The resistivity of YbB12\, despite much larger than that of usual metals\, exhibits profound quantum oscillations under intense magnetic fields. This unconventional oscillation is shown to arise from the insulating bulk instead of conducting surface states. The large effective masses indicate strong correlation effects between electrons. Our result is the first discovery of quantum oscillations in the electrical resistivity of a strongly correlated insulator and will bring crucial insight into understanding the ground state in gapped Kondo systems. \n2020 – 2021\nSeptember 2\, 2020 | 10:30am ET\n\n\n\n\n\n\n\nSubir Sachdev (Harvard) \nTitle: Metal-to-metal quantum phase transitions not described by symmetry-breaking orders \nAbstract: Numerous experiments have explored the phases of the cuprates with increasing doping density p from the antiferromagnetic insulator. There is now strong evidence that the small p region is a novel phase of matter\, often called the pseudogap metal\, separated from conventional Fermi liquid at larger p by a quantum phase transition. Symmetry-breaking orders play a spectator role\, at best\, at this quantum phase transition. I will describe trial wavefunctions across this metal-metal transition employing hidden layers of ancilla qubits (proposed by Ya-Hui Zhang). Quantum fluctuations are described by a gauge theory  of ghost fermions that carry neither spin nor charge. I will also\ndescribe a separate approach to this transition in a t-J model with random exchange interactions in the limit of large dimensions. This approach leads to a partly solvable SYK-like critical theory of holons and spinons\, and a linear in temperature resistivity from time reparameterization fluctuations. Near criticality\, both approaches have in common emergent fractionalized excitations\, and a significantly larger entropy than naively expected. \nVideo\n\n\n\n\nSeptember 23\, 2020 | 10:30am ET\n\n\n\n\n\n\n\nSubir Sachdev (Harvard) \nTitle: Metal-to-metal quantum phase transitions not described by symmetry-breaking orders II \nAbstract: In this second talk\, I will focus on (nearly) solvable models of metal-metal transition in random systems. The t-J model with random and all-to-all hopping and exchange can be mapped onto a quantum impurity model coupled self-consistently to an environment (the mapping also applies to a t-J model in a large dimension lattice\,  with random nearest-neighbor exchange). Such models will be argued to exhibit metal-metal quantum phase transitions in the universality class of the SYK model\, accompanied by a linear-in-T resistivity from time reparameterization  fluctuations. I will also present the results of exact diagonalization of random t-J clusters\, obtained recently with Henry Shackleton\, Alexander Wietek\, and Antoine Georges. \nVideo\n\n\n\n\nSeptember 24\, 2020 | 12:00pm ET\n\n\n\n\n\n\n\nInna Vishik (University of California\, Davis)\n\nTitle: Universality vs materials-dependence in cuprates: ARPES studies of the model cuprate Hg1201Abstract: The cuprate superconductors exhibit the highest ambient-pressure superconducting transition temperatures (T c )\, and after more than three decades of extraordinary research activity\, continue to pose formidable scientific challenges. A major experimental obstacle has been to distinguish universal phenomena from materials- or technique-dependent ones. Angle-resolved photoemission spectroscopy (ARPES) measures momentum-dependent single-particle electronic excitations and has been invaluable in the endeavor to determine the anisotropic momentum-space properties of the cuprates. HgBa 2 CuO 4+d (Hg1201) is a single-layer cuprate with a particularly high optimal T c and a simple crystal structure; yet there exists little information from ARPES about the electronic properties of this model system. I will present recent ARPES studies of doping-\, temperature-\, and momentum-dependent systematics of near-nodal dispersion anomalies in Hg1201. The data reveal a hierarchy of three distinct energy scales which establish several universal phenomena\, both in terms of connecting multiple experimental techniques for a single material\, and in terms of connecting comparable spectral features in multiple structurally similar cuprates.Video\n\n\n\n\nOctober 15\, 2020 | 10:30am ET\n\n\n\n\n\n\n\nLouis Taillefer (Université de Sherbrooke) \nTitle: New signatures of the pseudogap phase of cuprate superconductors \nAbstract: The pseudogap phase of cuprate superconductors is arguably the most enigmatic phase of quantum matter. We aim to shed new light on this phase by investigating the non- superconducting ground state of several cuprate materials at low temperature across a wide doping range\, suppressing superconductivity with a magnetic field. Hall effect measurements across the pseudogap critical doping p* reveal a sharp drop in carrier density n from n = 1 + p above p* to n = p below p\, signaling a major transformation of the Fermi surface. Angle-dependent magneto-resistance (ADMR) directly reveals a change in Fermi surface topology across p. From specific heat measurements\, we observe the classic thermodynamic signatures of quantum criticality: the electronic specific heat C el shows a sharp peak at p\, where it varies in temperature as C el ~ – T logT. At p and just above\, the electrical resistivity is linear in T at low T\, with an inelastic scattering rate that obeys the Planckian limit. Finally\, the pseudogap phase is found to have a large negative thermal Hall conductivity\, which extends to zero doping. We show that the pseudogap phase makes phonons become chiral. Understanding the mechanisms responsible for these various new signatures will help elucidate the nature of the pseudogap phase. \nVideo\n\n\n\n\nOctober 28\, 2020 | 10:30am ET\n\n\n\n\n\n\n\nPatrick Lee (MIT) \nTitle: The not-so-normal normal state of underdoped Cuprate \nAbstract: The underdoped Cuprate exhibits a rich variety of unusual properties that have been exposed after years of experimental investigations. They include a pseudo-gap near the anti-nodal points and “Fermi arcs” of gapless excitations\, together with a variety of order such as charge order\, nematicity and possibly loop currents and time reversal and inversion breaking. I shall argue that by making a single assumption of strong pair fluctuations at finite momentum (Pair density wave)\, a unified description of this phenomenology is possible. As an example\, I will focus on a description of the ground state that emerges when superconductivity is suppressed by a magnetic field which supports small electron pockets. [Dai\, Senthil\, Lee\, Phys Rev B101\, 064502 (2020)] There is some support for the pair density wave hypothesis from STM data that found charge order at double the usual wave-vector in the vicinity of vortices\, as well as evidence for a fragile form of superconductivity persisting to fields much above Hc2. I shall suggest a more direct experimental probe of the proposed fluctuating pair density wave. \nVideo\n\n\n\n\nNovember 6\, 2020 |12:30pm ET\n\n\n\n\n\n\n\nZhi-Xun Shen (Stanford University) \nTitle: Essential Ingredients for Superconductivity in Cupper Oxide Superconductors \nAbstract: High‐temperature superconductivity in cupper oxides\, with critical temperature well above what wasanticipated by the BCS theory\, remains a major unsolved physics problem. The problem is fascinating because it is simultaneously simple ‐ being a single band and 1⁄2 spin system\, yet extremely rich ‐ boasting d‐wave superconductivity\, pseudogap\, spin and charge orders\, and strange metal phenomenology. For this reason\, cuprates emerge as the most important model system for correlated electrons – stimulating conversations on the physics of Hubbard model\, quantum critical point\, Planckian metal and beyond.\nCentral to this debate is whether the Hubbard model\, which is the natural starting point for the undoped\nmagnetic insulator\, contains the essential ingredients for key physics in cuprates. In this talk\, I will discuss our photoemission evidence for a multifaceted answer to this question [1‐3]. First\, we show results that naturally points to the importance of Coulomb and magnetic interactions\, including d‐wave superconducting gap structure [4]\, exchange energy (J) control of bandwidth in single‐hole dynamics [5]. Second\, we evidence effects beyond the Hubbard model\, including band dispersion anomalies at known phonon frequencies [6\, 7]\, polaronic spectral lineshape and the emergence of quasiparticle with doping [8]. Third\, we show properties likely of hybrid electronic and phononic origin\, including the pseudogap [9‐11]\, and the almost vertical phase boundary near the critical 19% doping [12]. Fourth\, we show examples of small q phononic coupling that cooperates with d‐wave superconductivity [13‐15]. Finally\, we discuss recent experimental advance in synthesizing and investigating doped one‐dimensional (1D) cuprates [16]. As theoretical calculations of the 1D Hubbard model are reliable\, a robust comparison can be carried out. The experiment reveals a near‐neighbor attractive interaction that is an order of magnitude larger than the attraction generated by spin‐superexchange in the Hubbard model. Addition of such an attractive term\, likely of phononic origin\, into the Hubbard model with canonical parameters provides a quantitative explanation for all important experimental observable: spinon and holon dispersions\, and holon‐ holon attraction. Given the structural similarity of the materials\, It is likely that an extended two‐dimensional\n(2D) Hubbard model with such an attractive term\, will connect the dots of the above four classes of\nexperimental observables and provide a holistic understanding of cuprates\, including the elusive d‐wave superconductivity in 2D Hubbard model. \n[1] A. Damascelli\, Z. Hussain\, and Z.‐X. Shen\, Review of Modern Physics\, 75\, 473 (2003)\n[2] M. Hashimoto et al.\, Nature Physics 10\, 483 (2014)\n[3] JA Sobota\, Y He\, ZX Shen ‐ arXiv preprint arXiv:2008.02378\, 2020; submitted to Rev. of Mod. Phys.\n[4] Z.‐X. Shen et al.\, Phys. Rev. Lett. 70\, 1553 (1993)\n[5] B.O. Wells et al.\, Phys. Rev. Lett. 74\, 964 (1995)\n[6] A. Lanzara et al.\, Nature 412\, 510 (2001)\n[7] T. Cuk et al.\, Phys. Rev. Lett.\, 93\, 117003 (2004)\n[8] K.M. Shen et al.\, Phys. Rev. Lett.\, 93\, 267002 (2004)\n[9] D.M. King et al.\, J. of Phys. & Chem of Solids 56\, 1865 (1995)\n[10] D.S. Marshall et al.\, Phy. Rev. Lett. 76\, 484 (1996)\n[11] A.G. Loeser et al.\, Science 273\, 325 (1996)\n[12] S. Chen et al.\, Science\, 366\, 6469 (2019)\n[13] T.P. Devereaux\, T. Cuk\, Z.X. Shen\, N. Nagaosa\, Phys. Rev. Lett.\, 93\, 117004 (2004)\n[14] S. Johnston et al.\, Phys. Rev. Lett. 108\, 166404 (2012)\n[15] Yu He et al.\, Science\, 362\, 62 (Oct. 2018)\n[16] Z. Chen\, Y. Wang et al.\, preprint\, 2020 \nVideo\n\n\n\n\nNovember 12\, 2020 |10:30am ET\n\n\n\n\n\n\n\nChandra Varma (Visting Professor\, University of California\, Berkeley.\nEmeritus Distinguished Professor\, University of California\, Riverside.)Title: Loop-Current Order and Quantum-Criticality in CupratesThis talk is organized as follows:\n1. Physical Principles leading to Loop-current order and quantum criticality as the central feature in the physics of Cuprates.\n2. Summary of the essentially exact solution of the dissipative xy model for Loop-current fluctuations.\n3. Quantitative comparison of theory for the quantum-criticality with a variety of experiments.\n4. Topological decoration of loop-current order to understand ”Fermi-arcs” and small Fermi-surface magneto-oscillations.Time permitting\,\n(i) Quantitative theory and experiment for fluctuations leading to d-wave superconductivity.\n(ii) Extensions to understand AFM quantum-criticality in heavy-fermions and Fe-based superconductors.\n(iii) Problems.Video\n\n\n\n\nNovember 18\, 2020 |10:30am ET\n\n\n\n\n\n\n\nAntoine Georges (Collège de France\, Paris and Flatiron Institute\, New York) \nTitle: Superconductivity\, Stripes\, Antiferromagnetism and the Pseudogap: What Do We Know Today about the 2D Hubbard model? \nAbstract: Simplified as it is\, the Hubbard model embodies much of the complexity of the `strong correlation problem’ and has established itself as a paradigmatic model in the field. In this talk\, I will argue that several key aspects of its physics in two dimensions can now be established beyond doubt\, thanks to the development of controlled and accurate computational methods. These methods implement different and complementary points of view on the quantum many-body problem. Along with pushing forward each method\, the community has recently embarked into a major effort to combine and critically compare these approaches\, and in several instances a consistent picture of the physics has emerged as a result. I will review in this perspective our current understanding of the emergence of a pseudogap in both the weak and strong coupling regimes. I will present recent progress in understanding how the pseudogap phase may evolve into a stripe-dominated regime at low temperature\, and briefly address the delicate question of the competition between stripes and superconductivity. I will also emphasize outstanding questions which are still open\, such as the possibility of a Fermi surface reconstruction without symmetry breaking. Whenever possible\, connections to the physics of cuprate superconductors will be made. If time permits\, I may also address the question of Planckian transport and bad metallic transport at high temperature. \nVideo\n\n\n\n\nNovember 19\, 2020 |10:30am ET\n\n\n\n\n\n\n\nEduardo Fradkin (University of Illinois at Urbana-Champaign) \nTitle: Pair Density Waves and Intertwined Orders in High Tc Superconductors\n\nAbstract: I will argue that the orders that are present in high temperature superconductors naturally arise with the same strength and are better regarded as intertwined rather than competing. I illustrate this concept in the context of the orders that are present in the pair-density-wave state and the phase diagrams that result from this analysis. \nVideo\n\n\n\n\nNovember 25\, 2020 |10:30am ET\n\n\n\n\n\n\n\nQimiao Si (Rice University) \nTitle: Bad Metals and Electronic Orders – Nematicity from Iron Pnictides to Graphene Moiré Systems \nAbstract: Strongly correlated electron systems often show bad-metal behavior\, as operationally specified in terms of a resistivity at room temperature that reaches or exceeds the Mott-Ioffe-Regel limit. They display a rich landscape of electronic orders\, which provide clues to the underlying microscopic physics. Iron-based superconductors present a striking case study\, and have been the subject of extensive efforts during the past decade or so. They are well established to be bad metals\, and their phase diagrams prominently feature various types of electronic orders that are essentially always accompanied by nematicity. In this talk\, I will summarize these characteristic features and discuss our own efforts towards understanding the normal state through the lens of the electronic orders and their fluctuations. Implications for superconductivity will be briefly discussed. In the second part of the talk\, I will consider the nematic correlations that have been observed in the graphene-based moiré narrow-band systems. I will present a theoretical study which demonstrates nematicity in a “fragile insulator”\, predicts its persistence in the bad metal regime and provides an overall perspective on the phase diagram of these correlated systems.\n\n\n\n\nDecember 2\, 2020 |10:30am ET\n\n\n\n\n\n\n\nAndrey Chubukov (University of Minnesota) \nTitle: Interplay between superconductivity and non-Fermi liquid at a quantum critical point in a metal \n\nAbstract:  I discuss the interplay between non-Fermi liquid behaviour and pairing near a quantum-critical point (QCP) in a metal. These tendencies are intertwined in the sense that both originate from the same interaction mediated by gapless fluctuations of a critical order parameter. The two tendencies compete because fermionic incoherence destroys the Cooper logarithm\, while the pairing eliminates scattering at low energies and restores fermionic coherence. I discuss this physics for a class of models with an effective dynamical interaction V (Ω) ~1/|Ω|^γ (the γ-model). This model describes\, in particular\, the pairing at a 2D Ising-nematic critical point in (γ=1/3)\, a 2D antiferromagnetic critical point (γ=1/2) and the pairing by an Einstein phonon with vanishing dressed Debye frequency (γ=2). I argue the pairing wins\, unless the pairing component of the interaction is artificially reduced\, but because of fermionic incoherence in the normal state\, the system develops a pseudogap\, preformed pairs behaviour in the temperature range between the onset of the pairing at Tp and the onset of phase coherence at the actual superconducting Tc. The ratio Tc/Tp decreases with γ and vanishes at γ =2. I present two complementary arguments of why this happens. One is the softening of longitudinal gap fluctuations\, which become gapless at γ =2. Another is the emergence of a 1D array of dynamical vortices\, whose number diverges at γ =2. I argue that once the number of vortices becomes infinite\, quasiparticle energies effectively get quantized and do not get re-arranged in the presence of a small phase variation. I show that a new non-superconducting ground state emerges at γ >2.\n\n\n\n\nDecember 9\, 2020 |10:30am ET\n\n\n\n\n\n\n\nDavid Hsieh (Caltech) \nTitle:  Signatures of anomalous symmetry breaking in the cuprates   \nAbstract: The temperature versus doping phase diagram of the cuprate high-Tc superconductors features an enigmatic pseudogap region whose microscopic origin remains a subject of intensive study. Experimentally resolving its symmetry properties is imperative for narrowing down the list of possible explanations. In this talk I will give an overview of how optical second harmonic generation (SHG) can be used as a sensitive probe of symmetry breaking\, and recap the ways it has been used to solve outstanding problems in condensed matter physics. I will then describe how we have been applying SHG polarimetry and spectroscopy to interrogate the cuprate pseudogap. In particular\, I will discuss our data on YBa2Cu3Oy [1]\, which show an order parameter-like increase in SHG intensity below the pseudogap temperature T* across a broad range of doping levels. I will then focus on our more recent results on a model parent cuprate Sr2CuO2Cl2 [2]\, where evidence of anomalous broken symmetries surprisingly also exists. Possible connections between these observations will be speculated upon.\n[1] L. Zhao\, C. A. Belvin\, R. Liang\, D. A. Bonn\, W. N. Hardy\, N. P. Armitage and D. Hsieh\, “A global inversion-symmetry-broken phase inside the pseudogap region of YBa2Cu3Oy\,” Nature Phys. 13\, 250 (2017). \n[2] A. de la Torre\, K. L. Seyler\, L. Zhao\, S. Di Matteo\, M. S. Scheurer\, Y. Li\, B. Yu\, M. Greven\, S. Sachdev\, M. R. Norman and D. Hsieh. “Anomalous mirror symmetry breaking in a model insulating cuprate Sr2CuO2Cl2\,” Preprint at https://arxiv.org/abs/2008.06516\n\n\n\n\nDecember 16\, 2020 |10:30am ET\n\n\n\n\n\n\n\nZheng-Yu Weng (Tsinghua University) \nTitle: Organizing Principle of Mottness and Complex Phenomenon in High Temperature Superconductors\n\nAbstract: The complex phenomenon in the high-Tc cuprate calls for a microscopic understanding based on general principles. In this Lecture\, an exact organizing principle for a typical doped Mott insulator will be presented\, in which the fermion sign structure is drastically reduced to a mutual statistics. Its nature as a long-range spin-charge entanglement of many-body quantum mechanics will be exemplified by exact numerical calculations. The phase diagram of the cuprate may be unified in a “bottom-up” fashion by a “parent” ground state ansatz with hidden orders constructed based on the organizing principle. Here the pairing mechanism will go beyond the “RVB” picture and the superconducting state is of non-BCS nature with modified London equation and novel elementary excitations. In particular\, the Bogoliubov/Landau quasiparticle excitation are emerging with a two-gap structure in the superconducting state and the Fermi arc in a pseudogap regime. A mathematic framework of fractionalization and duality transformation guided by the organizing principle will be introduced to describe the above emergent phenomenon.\n\n\n\n\nDecember 17\, 2020 |10:30am ET\n\n\n\n\n\n\n\nSteven Kivelson (Stanford University) \nTitle: What do we know about the essential physics of high temperature superconductivity after one third of a century? \nAbstract: Despite the fact that papers submitted to glossy journals universally start by bemoaning the absence of theoretical understanding\, I will argue that the answer to the title question is “quite a lot.” To focus the discussion\, I will take the late P.W. Anderson’s “Last Words on the Cuprates” (arXiv:1612.03919) as a point of departure\, although from a perspective that differs from his in many key points.\n\n\n\n\nJanuary 20\, 2021 |10:30am ET\n\n\n\n\n\n\n\nThomas Peter Devereaux (Stanford University) \nTitle:  Numerical investigations of models of the cuprates\n\nAbstract: Richard Feynman once said “Anyone who wants to analyze the properties of matter in a real problem might want to start by writing down the fundamental equations and then try to solve them mathematically. Although there are people who try to use such an approach\, these people are the failures in this field. . . ” \nI will summarize efforts to solve microscopic models of the cuprates using quantum Monte Carlo and density matrix renormalization group computational methods\, with emphasis on how far one can get before failing to describe the real materials. I will start with an overview of the quantum chemistry of the cuprates that guides our choices of models\, and then I will discuss “phases” of these models\, both realized and not. I will lastly discuss the transport properties of the models in the “not-so-normal” regions of the phase diagram.\n\n\n\n\nFebruary 3\, 2021 |10:30am ET\n\n\n\n\n\n\n\nPhilip Phillips (University of Illinois Urbana-Champaign) \nTitle: Beyond BCS: An Exact Model for Superconductivity and Mottness\n\nAbstract: High-temperature superconductivity in the cuprates remains an unsolved problem because the cuprates start off their lives as Mott insulators in which no organizing principle such a Fermi surface can be invoked to treat the electron interactions. Consequently\, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. Part of the problem is that the basic model for a Mott insulator\, namely the Hubbard model is unsolvable in any dimension we really care about. To address this problem\, I will start by focusing on the overlooked Z_2 emergent symmetry of a Fermi surface first noted by Anderson and Haldane. Mott insulators break this emergent symmetry. The simplest model of this type is due to Hatsugai/Kohmoto. I will argue that this model can be thought of a fixed point for Mottness. I will then show exactly[1] that this model when appended with a weak pairing interaction exhibits not only the analogue of Cooper’s instability but also a superconducting ground state\, thereby demonstrating that a model for a doped Mott insulator can exhibit superconductivity. The properties of the superconducting state differ drastically from that of the standard BCS theory. The elementary excitations of this superconductor are not linear combinations of particle and hole states but rather are superpositions of doublons and holons\, composite excitations signaling that the superconducting ground state of the doped Mott insulator inherits the non-Fermi liquid character of the normal state. Additional unexpected features of this model are that it exhibits a superconductivity-induced transfer of spectral weight from high to low energies and a suppression of the superfluid density as seen in the cuprates.\n[1] PWP\, L. Yeo\, E. Huang\, Nature Physics\, 16\, 1175-1180 (2020).\n\n\n\n\nFebruary 10\, 2021 |10:30am ET\n\n\n\n\n\n\n\nSenthil Todadri (MIT) \nTitle: Strange metals as ersatz Fermi liquids: emergent symmetries\, general constraints\, and experimental tests \nAbstract: The strange metal regime is one of the most prominent features of the cuprate phase diagram but yet has remained amongst the most mysterious. Seemingly similar metallic behavior is seen in a few other metals. In this talk\, I will discuss\, in great generality\, some properties of `strange metals’ in an ideal clean system. I will discuss general constraints[1] on the emergent low energy symmetries of any such strange metal. These constraints may be viewed as a generalization of the Luttinger theorem of ordinary Fermi liquids. Many\, if not all\, non-Fermi liquids will have the same realization of emergent symmetry as a Fermi liquid (even though they could have very different dynamics). Such phases – dubbed ersatz Fermi liquids – share some (but not all) universal properties with Fermi liquids. I will discuss the implications for understanding the strange metal physics observed in experiments . Combined with a few experimental observations\, I will show that these general model-independent considerations lead to concrete predictions[2] about a class of strange metals. The most striking of these is a divergent susceptibility of an observable that has the same symmetries as the loop current order parameter.\n[1]. Dominic Else\, Ryan Thorngren\, T. Senthil\, https://arxiv.org/abs/2007.07896\n[2]. Dominic Else\, T. Senthil\, https://arxiv.org/abs/2010.10523\n\n\n\n\nApril 1\, 2021 |9:00am ET\n\n\n\n\n\n\n\nNaoto Nagaosa (University of Tokyo) \nTitle: Applied physics of high-Tc theories \nAbstract: Since the discovery of high temperature superconductors in cuprates in 1986\, many theoretical ideas have been proposed which have enriched condensed matter theory. Especially\, the resonating valence bond (RVB) state for (doped) spin liquids is one of the most fruitful idea. In this talk\, I would like to describe the development of RVB idea to broader class of materials\, especially more conventional magnets. It is related to the noncollinear spin structures with spin chirality and associated quantal Berry phase applied to many phenomena and spintronics applications. It includes the (quantum) anomalous Hall effect\, spin Hall effect\, topological insulator\, multiferroics\, various topological spin textures\, e.g.\, skyrmions\, and nonlinear optics. I will show that even though the phenomena are extensive\, the basic idea is rather simple and common in all of these topics.\n\n\n\n\nApril 22\, 2021 |10:30am ET\n\n\n\n\n\n\n\nDung-Hai Lee (UC Berkeley) \nTitle: “Non-abelian bosonization in two and three spatial dimensions and some applications” \nAbstract: In this talk\, we generalize Witten’s non-abelian bosonization in $(1+1)$-D to two and three spatial dimensions. Our theory applies to fermions with relativistic dispersion. The bosonized theories are non-linear sigma models with level-1 Wess-Zumino-Witten terms. As applications\, we apply the bosonization results to the $SU(2)$ gauge theory of the $\pi$ flux mean-field theory of half-filled Hubbard model\, critical spin liquids of “bipartite-Mott insulators” in 1\,2\,3 spatial dimensions\, and twisted bilayer graphene.\n\n\n\n\nMay 12\, 2021 |10:30am ET\n\n\n\n\n\n\n\nAndré-Marie Tremblay (Université de Sherbrooke) \nTitle: A unified theoretical perspective on the cuprate phase diagram \nAbstract: Many features of the cuprate phase diagram are a challenge for the usual tools of solid state physics. I will show how a perspective that takes into account both the localized and delocalized aspects of conduction electrons can explain\, at least qualitatively\, many of these features. More specifically\, I will show that the work of several groups using cluster extensions of dynamical mean-field theory sheds light on the pseudogap\, on the quantum-critical point and on d-wave superconductivity. I will argue that the charge transfer gap and oxygen hole content are the best indicators of strong superconductivity and that many observations are a signature of the influence of Mott physics away from half-filling. I will also briefly comment on what information theoretic measures tell us about this problem.\n\n\n\n\nAugust 11\, 2021 |10:30am ET\n\n\n\n\n\n\n\nPiers Coleman (Rutgers) \nTitle: Order Fractionalization* \nAbstract: I will discuss the interplay of spin fractionalization with broken\nsymmetry. When a spin fractionalizes into a fermion\, the resulting particle\ncan hybridize or pair with the mobile electrons to develop a new kind of\nfractional order parameter. The concept of “order fractionalization” enables\nus to extend the concept of off-diagonal order to encompass the formation of\nsuch order parameters with fractional quantum numbers\, such as spinorial\norder[1].\nA beautiful illustration of this phenomenon is provided by a model\nwhich incorporates the Yao-Lee-Kitaev model into a Kondo lattice[2]. This\nmodel explicitly exhibits order fractionalization and is expected to undergo a\ndiscrete Ising phase transition at finite temperature into an\norder-fractionalized phase with gapless Majorana excitations.\nThe broader implications of these considerations for Quantum\nMaterials and Quantum Field Theory will be discussed.\nWork done in collaboration with Yashar Komijani\, Anna Toth and Alexei\nTsvelik.\n[1] Order Fractionalization\, Yashar Komijani\, Anna Toth\, Premala Chandra\, Piers Coleman\, (2018).\n[2] Order Fractionalization in a Kitaev Kondo model\, Alexei Tsvelik and Piers Coleman\, (2021).\n\n\n\n\nSeptember 15\, 2021 |10:30am ET\n\n\n\n\n\n\n\nLiang Fu (MIT) \nTitle: Three-particle mechanism for pairing and superconductivity \nAbstract: I will present a new mechanism and an exact theory of electron pairing due to repulsive interaction in doped insulators. When the kinetic energy is small\, the dynamics of adjacent electrons on the lattice is strongly correlated. By developing a controlled kinetic energy expansion\, I will show that two doped charges can attract and form a bound state\, despite and because of the underlying repulsion. This attraction by repulsion is enabled by the virtual excitation of a third electron in the filled band. This three-particle pairing mechanism leads to a variety of novel phenomena at finite doping\, including spin-triplet superconductivity\, pair density wave\, BCS-BEC crossover and Feshbach resonance involving “trimers”. Possible realizations in moire materials\, ZrNCl and WTe2 will be discussed. \n[1] V. Crepel and L. Fu\, Science Advances 7\, eabh2233 (2021)\n[2] V. Crepel and L. Fu\, arXiv:2103.12060\n[3] K. Slagle and L. Fu\,  Phys. Rev. B 102\, 235423 (2020)\n\n\n\n\nSeptember 29\, 2021 |11:30am ET (special time)\n\n\n\n\n\n\n\nNai Phuan Ong (Princeton University)\n\nTitle:.Abstract: The layered honeycomb magnet alpha-RuCl3 orders below 7 K in a zigzag phase in zero field. An in-plane magnetic field H||a suppresses the zigzag order at 7 Tesla\, leaving a spin-disordered phase widely believed to be a quantum spin liquid (QSL) that extends to ~12 T. We have observed oscillations in the longitudinal thermal conductivity Kxx vs. H from 0.4 to 4 K. The oscillations are periodic in 1/H (with a break-in-slope at 7 T). The amplitude function is maximal in the QSL phase (7 –11.5 T). I will describe a benchmark for crystalline disorder\, the reproducibility and intrinsic nature of the oscillations\, and discuss implications for the QSL state. I will also show detailed data on the thermal Hall conductivity Kxy measured from 0.4 K to 10 K and comment on recent half-quantization results.*Czajka et al.\, Nature Physics 17\, 915 (2021).Collaborators: Czajka\, Gao\, Hirschberger\, Lampen Kelley\, Banerjee\, Yan\, Mandrus and Nagler.\n\n\n\n\nDate TBA |10:30am ET\n\n\n\n\n\n\n\nSuchitra Sebastian (University of Cambridge) \nTitle: TBA\n\n\n\n\nDate TBA |10:30am ET\n\n\n\n\n\n\n\nJenny Hoffman (Harvard University) \nTitle: TBA
URL:https://live-hu-cmsa-222.pantheonsite.io/event/strongly-correlated-quantum-materials-and-high-temperature-superconductors-series/
LOCATION:MA
CATEGORIES:Event,Strongly Correlated Quantum Materials and High-Temperature Superconductors
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200824T100000
DTEND;TZID=America/New_York:20200825T140500
DTSTAMP:20250305T185337Z
CREATED:20230707T104105Z
LAST-MODIFIED:20250305T185337Z
UID:10000137-1598263200-1598364300@live-hu-cmsa-222.pantheonsite.io
SUMMARY:2020 Big Data Conference (Virtual)
DESCRIPTION:On August 24-25\, 2020 the CMSA hosted our sixth annual Conference on Big Data. The Conference featured many speakers from the Harvard community as well as scholars from across the globe\, with talks focusing on computer science\, statistics\, math and physics\, and economics. The 2020 Big Data Conference took place virtually. \n\nVideos of the talks are available in this youtube playlist.\n  \nOrganizers:  \n\nShing-Tung Yau\, William Caspar Graustein Professor of Mathematics\, Harvard University\nScott Duke Kominers\, MBA Class of 1960 Associate Professor\, Harvard Business\nHorng-Tzer Yau\, Professor of Mathematics\, Harvard University\nSergiy Verstyuk\, CMSA\, Harvard University\n\nSpeakers:\n \n\nSanjeev Arora\, Princeton University\nJuan Camilo Castillo\, University of Pennsylvania\nJoseph Dexter\, Dartmouth College\nNicole Immorlica\, Microsoft\nAmin Saberi\, Stanford University\nVira Semenova\, University of California\, Berkeley\nVarda Shalev\, Tel Aviv University
URL:https://live-hu-cmsa-222.pantheonsite.io/event/2020-big-data-conference-virtual/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Big Data Conference,Conference,Event
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Big-Data-2020-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200522T123000
DTEND;TZID=America/New_York:20200522T133000
DTSTAMP:20240209T054130Z
CREATED:20230715T083128Z
LAST-MODIFIED:20240209T054130Z
UID:10000136-1590150600-1590154200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Four-dimensional topology
DESCRIPTION:Ciprian Manolescu (Stanford) \nTitle: Four-dimensional topology \nAbstract: I will outline the history of four-dimensional topology. Some major events were the work of Donaldson and Freedman from 1982\, and the introduction of the Seiberg-Witten equations in 1994. I will discuss these\, and then move on to what has been done in the last 20 years\, when the focus shifted to four-manifolds with boundary and cobordisms. Floer homology has led to numerous applications\, and recently there have also been a few novel results (and proofs of old results) using Khovanov homology. The talk will be accessible to a general mathematical audience. \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_manolescu/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Manolescu-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200522T123000
DTEND;TZID=America/New_York:20200522T133000
DTSTAMP:20240227T091238Z
CREATED:20230715T082921Z
LAST-MODIFIED:20240227T091238Z
UID:10000135-1590150600-1590154200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: From string theory and Moonshine to vertex algebras
DESCRIPTION:Bong Lian (Brandeis) \nTitle: From string theory and Moonshine to vertex algebras \nAbstract: This is a brief survey of the early historical development of vertex algebras\, beginning in the seventies from Physics and Representation Theory. We shall also discuss some of the ideas that led to various early formulations of the theory’s foundation\, and their relationships\, as well as some of the subsequent and recent developments. The lecture is aimed at a general audience. \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_lian/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Lian-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200506T130000
DTEND;TZID=America/New_York:20200506T140000
DTSTAMP:20250328T201043Z
CREATED:20230715T082607Z
LAST-MODIFIED:20250328T201043Z
UID:10000134-1588770000-1588773600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: My life and times with the sporadic simple groups
DESCRIPTION:Robert Griess (University of Michigan) \nTitle: My life and times with the sporadic simple groups \nAbstract: Five sporadic simple groups were proposed in 19th century and 21 additional ones arose during the period 1965-1975. There were many discussions about the nature of finite simple groups and how sporadic groups are placed in mathematics. While in mathematics grad school at University of Chicago\,  I became fascinated with the unfolding story of sporadic simple groups. It involved theory\, detective work and experiments. During this lecture\, I will describe some of the people\, important ideas and evolution of thinking about sporadic simple groups. Most should be accessible to a general mathematical audience. \nVideo | Slides
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_griess/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Griess-pdf.jpeg
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200505T110000
DTEND;TZID=America/New_York:20200505T120000
DTSTAMP:20240227T093025Z
CREATED:20230715T082325Z
LAST-MODIFIED:20240227T093025Z
UID:10000132-1588676400-1588680000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Black Hole Formation
DESCRIPTION:Lydia Bieri (University of Michigan) \nTitle: Black Hole Formation \nAbstract: Can black holes form through the focusing of gravitational waves? This was an outstanding question since the early days of general relativity. In his breakthrough result of 2008\, Demetrios Chrstodoulou answered this question with “Yes!” In order to investigate this result\, we will delve deeper into the dynamical mathematical structures of the Einstein equations. Black holes are related to the presence of trapped surfaces in the spacetime manifold. Christodoulou proved that in the regime of pure general relativity and for arbitrarily dispersed initial data\, trapped surfaces form through the focusing of gravitational waves provided the incoming energy is large enough in a precisely defined way. The proof combines new ideas from geometric analysis and nonlinear partial differential equations as well as it introduces new methods to solve large data problems. These methods have many applications beyond general relativity. D. Christodoulou’s result was generalized in various directions by many authors. It launched mathematical activities going into multiple fields in mathematics and physics. In this talk\, we will discuss the mathematical framework of the above question. Then we will outline the main ideas of Christodoulou’s result and its generalizations\, show relations to other questions and give an overview of implications in other fields. \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_bieri/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Bieri-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T150000
DTEND;TZID=America/New_York:20200504T160000
DTSTAMP:20240227T092426Z
CREATED:20230715T081344Z
LAST-MODIFIED:20240227T092426Z
UID:10000133-1588604400-1588608000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Quantum Groups
DESCRIPTION:Pavel Etingof (MIT) \nTitle: Quantum Groups \nAbstract: The theory of quantum groups developed in mid 1980s from attempts to construct and understand solutions of the quantum Yang-Baxter equation\, an important equation arising in quantum field theory and statistical mechanics. Since then\, it has grown into a vast subject with profound connections to many areas of mathematics\, such as representation theory\, the Langlands program\, low-dimensional topology\, category theory\, enumerative geometry\, quantum computation\, algebraic combinatorics\, conformal field theory\, integrable systems\, integrable probability\, and others. I will review some of the main ideas and examples of quantum groups and try to briefly describe some of the applications. \nVideo | Slides
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_etingof/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Etingof-pdf.jpeg
END:VEVENT
END:VCALENDAR