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X-WR-CALDESC:Events for CMSA
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210303T103000
DTEND;TZID=America/New_York:20210303T120000
DTSTAMP:20240131T002532Z
CREATED:20240126T083602Z
LAST-MODIFIED:20240131T002532Z
UID:10001415-1614767400-1614772800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:3/3/2021 Quantum Matter Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-3-2021-quantum-matter-seminar/
LOCATION:Virtual
CATEGORIES:Quantum Matter
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210224T113000
DTEND;TZID=America/New_York:20210224T123000
DTSTAMP:20240126T084225Z
CREATED:20240126T084225Z
LAST-MODIFIED:20240126T084225Z
UID:10001418-1614166200-1614169800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:2/23/2021 Computer Science for Mathematicians
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/2-23-2021-computer-science-for-mathematicians/
LOCATION:Virtual
CATEGORIES:Computer Science for Mathematicians Seminar
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:20210218T103000
DTEND;TZID=America/New_York:20210218T120000
DTSTAMP:20240126T090220Z
CREATED:20240126T090220Z
LAST-MODIFIED:20240126T090220Z
UID:10001425-1613644200-1613649600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:2/18/2021 Quantum Matter Seminar
DESCRIPTION:Speaker:  Xiao-Gang Wen (MIT) \nTitle: A solution to the chiral fermion problem \nAbstract: Motivated by the relation between anomaly and topological/SPT order in one higher dimension\, we propose a solution to the chiral fermion problem. In particular\, we find several sufficient conditions\, such that a chiral fermion field theory can be regularized by an interacting lattice model in the same dimension. We also discuss some related issues\, such as mass without mass term\, and why ‘topological’ phase transitions are usually not “topological” phase transitions.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/2-18-2021-quantum-matter-seminar/
LOCATION:Virtual
CATEGORIES:Quantum Matter
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210217T103000
DTEND;TZID=America/New_York:20210217T120000
DTSTAMP:20240126T090340Z
CREATED:20240126T090325Z
LAST-MODIFIED:20240126T090340Z
UID:10001426-1613557800-1613563200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Global Anomalies on the Hilbert Space
DESCRIPTION:Speaker:  Jaume Gomis (Perimeter PI) \nTitle: Global Anomalies on the Hilbert Space \nAbstract: We will discuss an elementary way of detecting some global anomalies from the way the symmetry algebra is realized on the torus Hilbert space of the anomalous theory\, give a physical description of the imprint of the “layers” that enter in the cobordism classification of anomalies and discuss applications\, including how anomalies can imply a supersymmetric spectrum in strongly coupled (nonsupersymmetric) gauge theories.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/2-17-2021-quantum-matter-seminar/
LOCATION:Virtual
CATEGORIES:Quantum Matter
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210216T133000
DTEND;TZID=America/New_York:20210216T143000
DTSTAMP:20240126T090101Z
CREATED:20240126T090101Z
LAST-MODIFIED:20240126T090101Z
UID:10001424-1613482200-1613485800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:2/16/2021 Computer Science for Mathematicians
DESCRIPTION:Speaker: Michael P. Kim (UC Berkeley) \nTitle: Outcome Indistinguishability \nAbstract: Prediction algorithms assign numbers to individuals that are popularly understood as individual “probabilities” — e.g.\, what is the probability of 5-year survival after cancer diagnosis? — and which increasingly form the basis for life-altering decisions. The understanding of individual probabilities in the context of such unrepeatable events has been the focus of intense study for decades within probability theory\, statistics\, and philosophy. Building off of notions developed in complexity theory and cryptography\, we introduce and study Outcome Indistinguishability (OI). OI predictors yield a model of probabilities that cannot be efficiently refuted on the basis of the real-life observations produced by Nature. \nWe investigate a hierarchy of OI definitions\, whose stringency increases with the degree to which distinguishers may access the predictor in question.  Our findings reveal that OI behaves qualitatively differently than previously studied notions of indistinguishability.  First\, we provide constructions at all levels of the hierarchy.  Then\, leveraging recently-developed machinery for proving average-case fine-grained hardness\, we obtain lower bounds on the complexity of the more stringent forms of OI.  The hardness result provides scientific grounds for the political argument that\, when inspecting algorithmic risk prediction instruments\, auditors should be granted oracle access to the algorithm\, not simply historical predictions. \nJoint work with Cynthia Dwork\, Omer Reingold\, Guy N. Rothblum\, Gal Yona; to appear at STOC 2021.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/2-16-2021-computer-science-for-mathematicians/
LOCATION:Virtual
CATEGORIES:Computer Science for Mathematicians Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210210T100000
DTEND;TZID=America/New_York:20210210T120000
DTSTAMP:20240126T091253Z
CREATED:20240126T091253Z
LAST-MODIFIED:20240126T091253Z
UID:10001430-1612951200-1612958400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:2/10/2021 Strongly Correlated Quantum Materials
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/2-10-2021-strongly-correlated-quantum-materials/
LOCATION:Virtual
CATEGORIES:Strongly Correlated Quantum Materials and High-Temperature Superconductors
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210128T103000
DTEND;TZID=America/New_York:20210129T000000
DTSTAMP:20240213T101813Z
CREATED:20240213T101813Z
LAST-MODIFIED:20240213T101813Z
UID:10002410-1611829800-1611878400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:1/28/2021 Quantum Matter Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/1-28-2021-quantum-matter-seminar/
LOCATION:Virtual
CATEGORIES:Quantum Matter
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:20210125T080000
DTEND;TZID=America/New_York:20210125T090000
DTSTAMP:20240126T095909Z
CREATED:20240126T095809Z
LAST-MODIFIED:20240126T095909Z
UID:10001445-1611561600-1611565200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Gromov-Witten/Donaldson Thomas theory and Birational/Symplectic invariants for algebraic surfaces
DESCRIPTION:During the Spring 2021 Semester Artan Sheshmani (CMSA/ I.M. A.U.) will be teaching a CMSA special lecture series on Gromov-Witten/Donaldson Thomas theory and Birational/Symplectic invariants for algebraic surfaces. \nIn order to attend this series\, please fill out this form. \nThe lectures will be held Mondays from 8:00 – 9:30 AM ET and Wednesdays from 8:00 – 9:00 AM ET beginning January 25 on Zoom. \nYou can watch Prof. Sheshmani describe the series here. 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/gromov-witten-donaldson-thomas-theory-and-birational-symplectic-invariants-for-algebraic-surfaces/
LOCATION:Virtual
CATEGORIES:Special Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210120T150000
DTEND;TZID=America/New_York:20210120T160000
DTSTAMP:20240515T191339Z
CREATED:20240126T093733Z
LAST-MODIFIED:20240515T191339Z
UID:10001440-1611154800-1611158400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Language Modeling for Mathematical Reasoning
DESCRIPTION:Speaker: Christian Szegedy \nTitle: Language Modeling for Mathematical Reasoning \nAbstract: In this talk\, I will summarize the current state of the art of transformer based language models and give examples on non-trivial reasoning task language models can solve in higher order logic reasoning. I will also discuss how to inject injective bias into transformer networks via pretraining on very simple synthetic tasks and representing graph structures for transformer networks. \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/1-20-2021-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-01.20.21.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210113T150000
DTEND;TZID=America/New_York:20210113T160000
DTSTAMP:20240517T201031Z
CREATED:20240126T093843Z
LAST-MODIFIED:20240517T201031Z
UID:10001441-1610550000-1610553600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:AI and Theorem Proving
DESCRIPTION:Speaker: Josef Urban\, Czech Technical University \nTitle: AI and Theorem Proving \nAbstract: The talk will discuss the main approaches that combine machine learning with automated theorem proving and automated formalization. This includes learning to choose relevant facts for “hammer” systems\, guiding the proof search of tableaux and superposition automated provers by interleaving learning and proving (reinforcement learning) over large ITP libraries\, guiding the application of tactics in interactive tactical systems\, and various forms of lemmatization and conjecturing. I will also show some demos of the systems\, and discuss autoformalization approaches such as learning probabilistic grammars from aligned informal/formal corpora\, combining them with semantic pruning\, and using neural methods to learn direct translation from Latex to formal mathematics.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/1-13-2021-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-01.13.21.png
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: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
END:VCALENDAR