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Advances in Probability Theory and Interacting Particle Systems A conference in honor of S. R. Srinivasa Varadhan. August 26 - August 28, 2024 Harvard Geological Lecture Hall Conference Website: www.math.harvard.edu/event/math-conference-honoring-srinivasa-varadhan Speakers Ines Armendariz, Universidad de Buenos Aires Yuri Bakhtin, Courant Institute Gérard Ben Arous, Courant Institute Sourav Chatterjee, Stanford University Amir Dembo, Stanford University Peter […] |
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Speaker: Jing-Yuan Chen, Tsinghua University Title: Instanton in Lattice QCD from Higher Categories and Higher Anafunctors Abstract: Putting continuum QFT (not just TQFT) on the lattice is important for both fundamental understandings and practical numerics. The traditional way of doing so, based on simple intuitions, however, does not admit natural definitions for general topological operators of continuous-valued […] |
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Mathematics and Machine Learning Program Dates: September 3 - November 1, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge, MA 0213 Machine learning and AI are increasingly important tools in all fields of research. Recent milestones in machine learning for mathematics include data-driven discovery of theorems in knot theory and representation theory, the discovery and […] 
Mathematics and Machine Learning Program Opening Workshop Dates: September 3 - 5, 2024 Location: Room G10, CMSA, 20 Garden Street, Cambridge MA & via Zoom Webinar AI for Mathematicians, with Leon Bottou, François Charton, David McAllester, Adam Wagner, Boris Hanin, and Geordie Williamson. A series of 6 tutorial lectures introducing concepts of AI and of […] |
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September 5, 2024 4:00 pm CMSA Common Room, 20 Garden Street, Cambridge MA All CMSA and Math affiliates are invited. |
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https://www.youtube.com/playlist?list=PL0NRmB0fnLJQS9vXNmNhMlza8r159l72s Youtube Playlist On September 6-7, 2024, the CMSA hosted the tenth annual Conference on Big Data. The Big Data Conference features 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. Location: Harvard University CMSA, 20 Garden Street, […] |
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Colloquium Speaker: Lauren Williams, Harvard University Title: Combinatorics and geometry of the amplituhedron Abstract: The amplituhedron is a geometric object introduced by Arkani-Hamed and Trnka to compute scattering amplitudes in N=4 super Yang Mills theory. It generalizes interesting objects such as cyclic polytopes and the positive Grassmannian. It has connections to tropical geometry, cluster algebras, […] |
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Speaker: Ahsan Khan (CMSA) Title: BPS Algebras in Landau-Ginzburg Models Abstract: The study of BPS states in supersymmetric quantum field theory has been a fruitful source of both mathematical and physical insights. In particular their study often leads to rich algebraic structures - from the "Algebra of the Infrared" of Gaiotto-Moore-Witten to the "Cohomological Hall […] |
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https://youtu.be/5Lo7bo7P_I0 Math and Machine Learning Lecture Date: Thursday, Sep. 12, 2024 Time: 4:00 - 5:00 pm Location: Science Center & via Zoom Webinar Speaker: Geordie Williamson, University of Sydney Title: Can AI help with hard mathematics? Abstract: The last years have seen remarkable advances in what AI can do. It is perhaps surprising that […]
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Mathematical Physics and Algebraic Geometry Speaker: Justin Kulp (Simons Center for Geometry and Physics) Title: Twisted Tools for (Untwisted) Quantum Field Theory Abstract: One of the most important properties of QFTs is that they can be deformed by "turning on interactions." Essentially every observable can be viewed as coupling the theory to some external system. Famously, adding […]
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Member Seminar Speaker: Iacopo Brivio (CMSA) Title: Abundance for mixed characteristic threefolds Abstract: The Minimal Model Program (MMP) predicts that every algebraic variety X is birational to either a fibration in Fano varieties, or it admits a “minimal model” X', that is a birational model with nef canonical bundle K_X'. The Abundance conjecture predicts then […]
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Freedman CMSA Seminar 2:00-3:30 pm ET Speaker: Mike Freedman, Harvard CMSA Title: Detecting hidden structures in linear maps Abstract: I'll consider the problem of detecting spectral features and tensor structures within linear maps both in a quantum and classical contexts. In the quantum context there is the question of whether a Hamiltonian is local, […] |
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Colloquium Speaker: Pavel Etingof (MIT) Title: Periodic pencils of flat connections and their p-curvature A periodic pencil of flat connections on a smooth algebraic variety is a linear family of flat connections , where are local coordinates on and are matrix-valued regular functions. A pencil is periodic if it is generically invariant under the shifts up to isomorphism. I will […] 
Joint BHI/CMSA Foundation Seminar Speaker: Matthew Dodelson (Harvard) Title: Ringdown in the SYK model Abstract: Thermal correlators in large N systems equilibrate at late times, but the precise late-time behavior is unknown away from holographic and free field limits. In this talk I will analyze this problem in the case of the SYK model away from […]
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Geometry and Quantum Theory Seminar Speaker: Keyou Zeng (CMSA) Title: Mathematics around Twisted Holography Abstract: The holography principle is an important idea in physics and has been widely studied since the 90s. Twisted holography offers a way to simplify physical holography models through the procedure called twisting. In the first part of the talk, I’ll […] |
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https://youtu.be/1QwTqfiqxTw CMSA/Tsinghua Math-Science Literature Lecture Date: Wednesday, September 18, 2024 Time: 9:00 - 10:30 am ET Location: Via Zoom Webinar Speaker: Marc Lackenby, University of Oxford Title: The complexity of knots Abstract: In his final paper in 1954, Alan Turing wrote `No systematic method is yet known by which one can tell whether two knots are […]
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CMSA Q&A Seminar Speaker: Noam Elkies, Harvard Math Topic: How to show E8 and Leech lattices have optimal sphere packings? |
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Mathematical Physics and Algebraic Geometry Seminar Speaker: Minghao Wang (Boston University) Title: Feynman graph integrals from topological holomorphic theories Abstract: Feynman graph integrals from topological theories were developed by M. Kontsevich, S. Axelrod and I. M. Singer in 1990s. These integrals have many mathematical applications, such as knot invariants, operad theory and formality theorems. In […]
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Member Seminar Speaker: Tomer Ezra (CMSA) Title: Communication Complexity of Combinatorial Auctions Abstract: We study the communication complexity of welfare maximization in combinatorial auctions with m items and two subadditive bidders. A 2-approximation can be guaranteed by a trivial randomized protocol with zero communication, or a trivial deterministic protocol with O(1) communication. We show that […]
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Quantum Matter Seminar Speaker: Zhengcheng Gu, Chinese University of Hong Kong Title: Classification and construction of crystalline topological superconductors and insulators in interacting fermion systems Abstract: The construction and classification of crystalline symmetry protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Crystalline SPT phases […] |
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Colloquium Speaker: Lisa Carbone, Rutgers University Title: Symmetry groups in infinite dimensions Abstract: The study of many physical theories requires an understanding of symmetries of infinite dimensional Lie algebras. The construction of groups of automorphisms for infinite dimensional Lie algebras is challenging, but there is well established theory for the class of Kac-Moody algebras. A […]
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General Relativity Seminar Speaker: Diandian Wang, Harvard University Title: New Energy Inequality in AdS Abstract: I will describe evidence for a new energy inequality in asymptotically AdS spacetimes whose conformal boundary contains a spatial circle. It is in some sense analogous but crucially different to the Penrose inequality. In the AdS4 case, this generalizes the […]
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https://youtu.be/0998FJhPdj8 New Technologies in Mathematics Seminar Speaker: Blake Bordelon Title: Infinite Limits and Scaling Laws for Deep Neural Networks Abstract: Scaling up the size and training horizon of deep learning models has enabled breakthroughs in computer vision and natural language processing. Empirical evidence suggests that these neural network models are described by regular scaling laws where performance of […] |
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Mathematical Physics and Algebraic Geometry Speaker: Junrong Yan (Northeastern University) Title: Witten deformation for non-Morse functions and gluing formulas Abstract: Witten deformation is a versatile tool with numerous applications in mathematical physics and geometry. In this talk, we will focus on the analysis of Witten deformation for a family of non-Morse functions, which leads to […]
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Quantum Field Theory and Physical Mathematics Speaker: Sergei Gukov (Caltech) Title: Going to the other side .... in algebra, topology, and maybe physics Abstract: Inspired by Eugene Wigner's reflections on the 'unreasonable effectiveness of mathematics in the natural sciences,' this talk is about the surprising and pervasive role of a peculiar phenomenon that, a priori, […]
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https://youtu.be/Pht8aXE5IsU Machine Learning in Science Education Panel Discussion Monday, Sep. 30, 2024 3:30-5:30 pm ET Machine Learning is rapidly influencing many spheres of human activity. As part of the CMSA Mathematics and Machine Learning Program, this panel discussion will explore current and future uses of Machine Learning in science education. Panelists will make brief presentations, […]
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General Relativity Seminar Speaker: Daniel Kapec, Harvard Title: Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics Abstract: Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic scaling of the low temperature black hole partition function. This result has only been derived using the path integral in the near-horizon region and relies […]
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CMSA Q&A Seminar Speaker: Cliff Taubes, Harvard Mathematics Topic: What are Z/2 harmonic 1-forms?
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https://youtu.be/x7LPDDYZn94 New Technologies in Mathematics Seminar Speaker: Antonio Sclocchi, EPFL Title: Hierarchical data structures through the lenses of diffusion models Abstract: The success of deep learning with high-dimensional data relies on the fact that natural data are highly structured. A key aspect of this structure is hierarchical compositionality, yet quantifying it remains a challenge. In […] |
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Mathematical Physics and Algebraic Geometry Seminar Speaker: Chuck Doran, Harvard CMSA Title: Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds Abstract: Smooth $M_m$-polarized K3-fibered Calabi-Yau (CY) 3-folds have been classified in terms of the choice of a generalized functional invariant and, in the case $m=1$, a generalized homological invariant. The resulting geometries generally exhibit […] |
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Giulia Fardelli, Boston University Title: Holography and Regge Phases at Large U(1) Charge Abstract: A single Conformal Field Theory (CFT) can have a rich phase diagram with qualitatively different emergent behaviors in a range of different regimes parameterized by the conserved charges of the theory. In this […]
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Member Seminar Speaker: Hugo Cui, CMSA Title: High-dimensional learning of narrow neural networks Abstract: This talk explores the interplay between neural network architectures and data structure through the lens of high-dimensional asymptotics. We focus on a class of narrow neural networks, namely networks possessing a finite number of hidden units, while operating in high dimensions. In the […] |