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  • Symplectic duality in examples

    Science Center Hall E 1 Oxford Street, Cambridge, MA, United States

    Geometry and Quantum Theory Seminar Speaker: Vasily Krylov, Harvard CMSA & Math Title: Symplectic duality in examples Abstract: Over the past twenty years, mathematicians and physicists have shown increasing interest in studying certain Poisson varieties, known as “symplectic singularities.” Many of these objects naturally arise as Higgs or Coulomb branches of certain TQFTs and, therefore, […]

  • Infinite Limits and Scaling Laws for Deep Neural Networks

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    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 […]

  • Going to the other side …. in algebra, topology, and maybe physics

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    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, […]

  • Topological Invariants of gapped states through cosheaves

    Science Center Hall E 1 Oxford Street, Cambridge, MA, United States

    Geometry and Quantum Theory Seminar Speaker: Bowen Yang, Harvard CMSA Title: Topological Invariants of gapped states through cosheaves Abstract: We provide a proper mathematical framework for the constructions of topological invariants of gapped quantum states and interpret topological invariants of gapped states as lattice analogs of ’t Hooft anomalies in Quantum Field Theory. Our secondary […]

  • CMSA Q&A Seminar: Cliff Taubes

    CMSA Q&A Seminar Speaker: Cliff Taubes, Harvard Mathematics Topic: What are Z/2 harmonic 1-forms?

  • Hierarchical data structures through the lenses of diffusion models

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    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 […]

  • Holography and Regge Phases at Large U(1) Charge

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    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 […]

  • High-dimensional learning of narrow neural networks

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    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 […]

  • Local complexity measures in modern parameterized function classes for supervised learning

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Colloquium Speaker: Elisenda Grigsby, Boston College Title: Local complexity measures in modern parameterized function classes for supervised learning Abstract: The parameter space for any fixed architecture of neural networks serves as a proxy during training for the associated class of functions - but how faithful is this representation? For any fixed feedforward ReLU network architecture, it […]

  • Skein traces and curve counting

    Science Center Hall E 1 Oxford Street, Cambridge, MA, United States

    Geometry and Quantum Theory Seminar Speaker: Sunghyuk Park, Harvard CMSA Title: Skein traces and curve counting Abstract: Skein modules are vector space-valued invariants of 3-manifolds describing the space of line defects modulo skein relations (determined by a choice of a ribbon category). When the 3-manifold is S x I for some surface S, the skein […]

  • CMSA Q&A Seminar: Laura DeMarco

    CMSA Q&A Seminar
    Common Room, CMSA 20 Garden Street, Cambridge, MA, United States

    CMSA Q&A Seminar Speaker: Laura DeMarco, Harvard University Topic: What is Teichmuller geometry and why is it important?

  • Dolbeault Virasoro algebra and M5 branes

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Brian Williams, Boston University Title: Dolbeault Virasoro algebra and M5 branes Abstract: The worldvolume theory on a stack of M5 branes in M-theory is superconformal. We propose a conjecture that in the holomorphic twist of the theory on a stack of M5 branes an infinite-dimensional enhancement of […]