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Homotopical Methods for Free and Interacting Fermionic SPTs

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

Quantum Field Theory and Physical Mathematics Seminar Speaker: Cameron Krulewski, MIT Title: Homotopical Methods for Free and Interacting Fermionic SPTs Abstract: We develop and compute homotopical "free-to-interacting maps" to compare classifications of fermionic symmetry-protected topological phases (SPTs), determining when such phases are stable under interactions or, alternatively, interaction-enabled. Generalizing work of Freed-Hopkins, we construct maps […]

Low-regularity Local Well-posedness of the Elastic Wave System

Virtual

General Relativity Seminar Speaker: Sifan Yu, National University of Singapore Title: Low-regularity Local Well-posedness of the Elastic Wave System Abstract: In this talk, I will present a recent work on the elastic wave system in three spatial dimensions. For admissible harmonic elastic materials, we prove a low-regularity local well-posedness result for the corresponding elastic wave equations. For such materials, we can split the […]

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. […]

Event Series 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.  

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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 […]

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 […]