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  • Introduction to the probabilistic approach to Louville theory III

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Bowen Yang, CMSA Title: Introduction to the probabilistic approach to Louville theory III Abstract: I will continue with the construction of Liouville CFT from probabilistic methods, following a review by Guillarmou, Kupiainen, and Rhodes (arXiv:2403.12780). The talk will emphasize technical aspects of Gaussian free fields (GFF) and contrast them with Brownian […]

  • Learning Dynamical Transport without Data

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

    https://youtu.be/mwpbMSNZOh0 New Technologies in Mathematics Seminar Speaker: Michael Albergo (Harvard) Title: Learning Dynamical Transport without Data Abstract: Algorithms based on dynamical transport of measure, such as score-based diffusion models, have resulted in great progress in the field of generative modeling. However, these algorithms rely on access to an abundance of data from the target distribution. […]

  • Mathematical Physics and Algebraic Geometry Seminar

    (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Rafael Álvarez García (Harvard University) Title: (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture Abstract: We analyze infinite-distance limits in the complex structure moduli space of six-dimensional F-theory, providing an algebro-geometric classification and a physical interpretation. From the point of view of the Swampland Program, the motivation is to understand the […]

  • Current Developments in Mathematics 2025

    Harvard Science Center 1 Oxford Street, Cambridge, MA

    When: April 4, 2025 - April 5, 2025 Where: Science Center Hall C Address: 1 Oxford Street, Cambridge, MA 02138, United States Speaker: Michael Chapman - NYU | Pazit Haim-Kislev - Institute for Advanced Study | Jianfeng Lin - Tsinghua University | Laura Monk - University of Bristol | Ramon van Handel - Princeton University IN-PERSON REGISTRATION Limited […]

  • Learning diffusion models in high-dimensions

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

    Member Seminar Speaker: Hugo Cui Title: Learning diffusion models in high-dimensions Abstract: We consider the problem of learning a generative model parametrized by a two-layer auto-encoder, and trained with online stochastic gradient descent, to sample from a high-dimensional data distribution with an underlying low-dimensional structure. We provide a tight asymptotic characterization of low-dimensional projections of […]

  • Quantum Field Theory and Physical Mathematics

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Matthew Yu (Oxford) Title: A new tangential structure for type IIA string theory Abstract: The Green-Schwarz anomaly cancellation condition says that the target space of heterotic string theory must come with a string structure for the theory to be consistent. In this talk we discuss a new tangential […]

  • 3-d Mirror Symmetry

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

    Colloquium Speaker: Ben Webster, University of Waterloo & Perimeter Institute Title: 3-d Mirror Symmetry Abstract: I'll give an introduction (or update, for those who've been introduced) to 3d mirror symmetry from the perspective of a mathematician.  

  • Featured

    CMSA/Tsinghua Math-Science Literature Lecture: Scott Sheffield (MIT): Yang-Mills theory and random surfaces

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

    https://youtu.be/JJ88e4H4b8Q CMSA/Tsinghua Math-Science Literature Lecture Date: April 8, 2025 Time: 9:00 - 10:30 am ET Location: CMSA G10, 20 Garden Street, Cambridge MA & via Zoom Speaker: Scott Sheffield (MIT) Title: Yang-Mills theory and random surfaces Abstract: The Clay Institute famously offered one million dollars to anyone who could mathematically construct and understand a certain continuum […]

  • Featured CMSA Q&A Seminar

    CMSA Q&A Seminar: Eric Maskin

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

    CMSA Q&A Seminar Speaker: Eric Maskin, Harvard University Topic: The Mathematics of Voting

  • Can Transformers Do Enumerative Geometry?

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

    https://youtu.be/zvvUFPOwseo New Technologies in Mathematics Seminar Speaker: Baran Hashemi, Technical University of Munich Title: Can Transformers Do Enumerative Geometry? Abstract: How can Transformers model and learn enumerative geometry? What is a systematic procedure for using Transformers in abductive knowledge discovery within a mathematician-machine collaboration? In this work, we introduce a Neural Enumerative Reasoning model for computation of ψ-class intersection numbers on the moduli space […]

  • Mathematical Physics and Algebraic Geometry Seminar

    3d Mirror Symmetry is 2d Mirror Symmetry

    Virtual

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Ki Fung Chan (Chinese University of Hong Kong) Title: 3d Mirror Symmetry is 2d Mirror Symmetry Abstract: We introduce an approach to studying 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex […]

  • Homological Invariants in Translation-Invariant Pauli Stabilizer Codes

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

    Member Seminar Speaker: Bowen Yang Title: Homological Invariants in Translation-Invariant Pauli Stabilizer Codes Abstract: Pauli stabilizer codes serve as foundational models in quantum error correction and the study of exotic quantum phases. In this talk, we explore the application of homological methods to translationally invariant Pauli stabilizer codes with qudits of varying dimensions. We introduce a series of invariants, […]