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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:20210113T090000
DTEND;TZID=America/New_York:20210113T100000
DTSTAMP:20240529T173823Z
CREATED:20240215T093336Z
LAST-MODIFIED:20240529T173823Z
UID:10002720-1610528400-1610532000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:A universal triangulation for flat tori
DESCRIPTION:Speaker:Francis Lazarus\, CNRS / Grenoble University \nTitle: A universal triangulation for flat tori \nAbstract: A celebrated theorem of Nash completed by Kuiper implies that every smooth Riemannian surface has a C¹ isometric embedding in the Euclidean 3-space E³. An analogous result\, due to Burago and Zalgaller\, states that every polyhedral surface\, obtained by gluing Euclidean triangles\, has an isometric PL embedding in E³. In particular\, this provides PL isometric embeddings for every flat torus (a quotient of E² by a rank 2 lattice). However\, the proof of Burago and Zalgaller is partially constructive\, relying on the Nash-Kuiper theorem. In practice\, it produces PL embeddings with a huge number of vertices\, moreover distinct for every flat torus. Based on a construction of Zalgaller and on recent works by Arnoux et al. we exhibit a universal triangulation with less than 10.000 vertices\, admitting for any flat torus an isometric embedding that is linear on each triangle. Based on joint work with Florent Tallerie.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/1-13-2022-interdisciplinary-science-seminar/
LOCATION:Virtual
CATEGORIES:Interdisciplinary Science Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-Interdisciplinary-Science-Seminar-01.13.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201209T150000
DTEND;TZID=America/New_York:20201209T160000
DTSTAMP:20240515T200218Z
CREATED:20240127T015429Z
LAST-MODIFIED:20240515T200218Z
UID:10001466-1607526000-1607529600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Machine learning and su(3) structures on six manifolds
DESCRIPTION:Speaker: James Gray – Virginia Tech \nTitle: Machine learning and su(3) structures on six manifolds \nAbstract: In this talk we will discuss the application of Machine Learning techniques to obtain numerical approximations to various metrics of SU(3) structure on six manifolds. More precisely\, we will be interested in SU(3) structures whose torsion classes make them suitable backgrounds for various string compactifications. A variety of aspects of this topic will be covered. These will include learning moduli dependent Ricci-Flat metrics on Calabi-Yau threefolds and obtaining numerical approximations to torsional SU(3) structures. \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/12-9-2020-new-tech-in-math/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-New-Technologies-in-Mathematics-12.09.20.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:20201202T140000
DTEND;TZID=America/New_York:20201202T150000
DTSTAMP:20240127T015810Z
CREATED:20240127T015810Z
LAST-MODIFIED:20240127T015810Z
UID:10001469-1606917600-1606921200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:12/2/2020 Random Matrix and Probability Theory
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/12-2-2020-random-matrix-and-probability-theory/
LOCATION:Virtual
CATEGORIES:Random Matrix & Probability Theory Seminar
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:20201118T150000
DTEND;TZID=America/New_York:20201118T160000
DTSTAMP:20240515T200420Z
CREATED:20240127T020145Z
LAST-MODIFIED:20240515T200420Z
UID:10001472-1605711600-1605715200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Universes as Big Data\, or Machine-Learning Mathematical Structures
DESCRIPTION:Speaker: Yang-Hui He\, Oxford University\, City University of London and Nankai University \nTitle: Universes as Big Data\, or Machine-Learning Mathematical Structures \nAbstract: We review how historically the problem of string phenomenology lead theoretical physics first to algebraic/differetial geometry\, and then to computational geometry\, and now to data science and AI. With the concrete playground of the Calabi-Yau landscape\, accumulated by the collaboration of physicists\, mathematicians and computer scientists over the last 4 decades\, we show how the latest techniques in machine-learning can help explore problems of physical and mathematical interest\, from geometry\, to group theory\, to combinatorics and number theory. \n  \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-18-2020-new-tech-in-math/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-New-Technologies-in-Mathematics-11.18.20.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201118T094500
DTEND;TZID=America/New_York:20201118T110000
DTSTAMP:20240507T202224Z
CREATED:20240209T115024Z
LAST-MODIFIED:20240507T202224Z
UID:10001870-1605692700-1605697200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Re-pricing avalanches
DESCRIPTION:Speaker: Jose A. Scheinkman (Columbia)\n\nTitle: Re-pricing avalanches\n\nAbstract: Monthly aggregate price changes exhibit chronic fluctuations but the aggregate shocks that drive these fluctuations are often elusive.  Macroeconomic models often add stochastic macro-level shocks such as technology shocks or monetary policy shocks to produce these aggregate fluctuations. In this paper\, we show that a state-dependent  pricing model with a large but finite number of firms is capable of generating large fluctuations in the number of firms that adjust prices in response to an idiosyncratic shock to a firm’s cost of price adjustment.  These fluctuations\, in turn\, cause fluctuations  in aggregate price changes even in the absence of aggregate shocks. (Joint work with Makoto Nirei.)
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-11-2020-colloquium/
LOCATION:Virtual
CATEGORIES:Colloquium
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:20201111T150000
DTEND;TZID=America/New_York:20201111T160000
DTSTAMP:20240515T200604Z
CREATED:20240127T021159Z
LAST-MODIFIED:20240515T200604Z
UID:10001480-1605106800-1605110400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Towards AI for mathematical modeling of complex biological systems: Machine-learned model reduction\, spatial graph dynamics\, and symbolic mathematics
DESCRIPTION:Speaker: Eric Mjolsness\, Departments of Computer Science and Mathematics\, UC Irvine \nTitle: Towards AI for mathematical modeling of complex biological systems: Machine-learned model reduction\, spatial graph dynamics\, and symbolic mathematics \nAbstract: The complexity of biological systems (among others) makes demands on the complexity of the mathematical modeling enterprise that could be satisfied with mathematical artificially intelligence of both symbolic and numerical flavors. Technologies that I think will be fruitful in this regard include (1) the use of machine learning to bridge spatiotemporal scales\, which I will illustrate with the “Dynamic Boltzmann Distribution” method for learning model reduction of stochastic spatial biochemical networks and the “Graph Prolongation Convolutional Network” approach to course-graining the biophysics of microtubules; (2) a meta-language for stochastic spatial graph dynamics\, “Dynamical Graph Grammars”\, that can represent structure-changing processes including microtubule dynamics and that has an underlying combinatorial theory related to operator algebras; and (3) an integrative conceptual architecture of typed symbolic modeling languages and structure-preserving maps between them\, including model reduction and implementation maps. \n  \n  \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-11-2020-new-technologies-in-mathematics/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-New-Technologies-in-Mathematics-11.11.20-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201104T150000
DTEND;TZID=America/New_York:20201104T160000
DTSTAMP:20240515T200835Z
CREATED:20240127T021940Z
LAST-MODIFIED:20240515T200835Z
UID:10001486-1604502000-1604505600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Some exactly solvable models for machine learning via Statistical physics
DESCRIPTION:Speaker: Florent Krzakala\, EPFL \nTitle: Some exactly solvable models for machine learning via Statistical physics \nAbstract: The increasing dimensionality of data in the modern machine learning age presents new challenges and opportunities. The high dimensional settings allow one to use powerful asymptotic methods from probability theory and statistical physics to obtain precise characterizations and develop new algorithmic approaches. Statistical mechanics approaches\, in particular\, are very well suited for such problems. Will give examples of recent works in our group that build on powerful methods of statistical physics of disordered systems to analyze some relevant questions in machine learning and neural networks\, including overparameterization\, kernel methods\, and the behavior gradient descent algorithm in a high dimensional non-convex landscape.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-4-2020-new-technologies-in-math/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-New-Technologies-in-Mathematics-11.04.20.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201015T103000
DTEND;TZID=America/New_York:20201015T120000
DTSTAMP:20240201T021839Z
CREATED:20240201T021839Z
LAST-MODIFIED:20240201T021839Z
UID:10001523-1602757800-1602763200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:10/15/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/10-15-2020-quantum-matter-seminar/
LOCATION:Virtual
CATEGORIES:Quantum Matter
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:20200923T150000
DTEND;TZID=America/New_York:20200923T160000
DTSTAMP:20240515T201416Z
CREATED:20240209T014918Z
LAST-MODIFIED:20240515T201416Z
UID:10001784-1600873200-1600876800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Self-induced regularization from linear regression to neural networks
DESCRIPTION:Speaker: Andrea Montanari\, Departments of Electrical Engineering and Statistics\, Stanford \nTitle: Self-induced regularization from linear regression to neural networks \nAbstract: Modern machine learning methods –most noticeably multi-layer neural networks– require to fit highly non-linear models comprising tens of thousands to millions of parameters. Despite this\, little attention is paid to the regularization mechanism to control model’s complexity. Indeed\, the resulting models are often so complex as to achieve vanishing training error: they interpolate the data. Despite this\, these models generalize well to unseen data : they have small test error. I will discuss several examples of this phenomenon\, beginning with a simple linear regression model\, and ending with two-layers neural networks in the so-called lazy regime. For these examples precise asymptotics could be determined mathematically\, using tools from random matrix theory. I will try to extract a unifying picture. A common feature is the fact that a complex unregularized nonlinear model becomes essentially equivalent to a simpler model\, which is however regularized in a non-trivial way. [Based on joint papers with: Behrooz Ghorbani\, Song Mei\, Theodor Misiakiewicz\, Feng Ruan\, Youngtak Sohn\, Jun Yan\, Yiqiao Zhong] \n  \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/9-23-2020-new-tech-in-mathematics-seminar/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-New-Technologies-in-Mathematics-09.23.20.png
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:20200916T150000
DTEND;TZID=America/New_York:20200916T160000
DTSTAMP:20240515T183741Z
CREATED:20240209T021453Z
LAST-MODIFIED:20240515T183741Z
UID:10001799-1600268400-1600272000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Graph Representation Learning: Recent Advances and Open Challenges
DESCRIPTION:Speaker: William Hamilton\, McGill University and MILA \nTitle: Graph Representation Learning: Recent Advances and Open Challenges \nAbstract: Graph-structured data is ubiquitous throughout the natural and social sciences\, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial if we want systems that can learn\, reason\, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning\, most prominently in the development of graph neural networks (GNNs). Advances in GNNs have led to state-of-the-art results in numerous domains\, including chemical synthesis\, 3D-vision\, recommender systems\, question answering\, and social network analysis. In the first part of this talk I will provide an overview and summary of recent progress in this fast-growing area\, highlighting foundational methods and theoretical motivations. In the second part of this talk I will discuss fundamental limitations of the current GNN paradigm and propose open challenges for the theoretical advancement of the field. \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/9-16-2020-new-technologies-seminar/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-New-Technologies-in-Mathematics-09.16.20-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200915T113000
DTEND;TZID=America/New_York:20200915T123000
DTSTAMP:20240307T111636Z
CREATED:20240209T015533Z
LAST-MODIFIED:20240307T111636Z
UID:10001788-1600169400-1600173000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:9/15/2020 Computer Science for Mathematicians
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/9-15-2020-computer-science-for-mathematicians/
LOCATION:Virtual
CATEGORIES:Computer Science for Mathematicians Seminar
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
END:VCALENDAR