https://youtu.be/Sc6k06wVX3s New Technologies in Mathematics Seminar Speaker: François Charton, Meta AI Title: Transformers for maths, and maths for transformers Abstract: Transformers can be trained to solve problems of mathematics. I present two recent applications, in mathematics and physics: predicting integer sequences, and discovering the properties of scattering amplitudes in a close relative of Quantum ChromoDynamics. Problems of […]
Probability Seminar Speaker: Catherine Wolfram (MIT) Title: Large deviations for the 3D dimer model Abstract: A dimer tiling of Z^d is a collection of edges such that every vertex is covered exactly once. In 2000, Cohn, Kenyon, and Propp showed that 2D dimer tilings satisfy a large deviations principle. In joint work with Nishant Chandgotia […]
Active Matter Seminar Speaker: Max Lavrentovich, Worcester State University Title: Strongly driven mixtures and membranes: Out of equilibrium surprises Abstract: The more prosaic cousin of active matter, driven inactive matter, is still full of unexpected phenomena. I will discuss two projects involving two seemingly mundane systems, a phase-separating colloidal mixture and a lipid membrane, which demonstrate […]
Quantum Matter Seminar Speaker: Cenke Xu (UCSB) Title: Quantum field theory approach to quantum information Abstract: We apply the formalism of quantum field theory and Euclidean space-time path integral to investigate a class of quantum information problems. In particular, we investigate quantum many-body systems under weak-measurement and decoherence. The Euclidean space-time path integral allows us […]
Member Seminar Speaker: Kai Xu (CMSA) Title: Moduli of vector bundles on curve and semiorthogonal decomposition Abstract: In this talk we construct semiorthogonal decompositions of moduli of vector bundles on a curve into its symmetric powers. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, derived Schur-Weyl duality for current groups and derived […]
Special Seminar Speaker: Mayuko Yamashita, Kyoto University Title: Topological modular forms and heretoric string theory Abstract: In this talk I will explain my works with Y. Tachikawa to study anomaly in heterotic string theory via homotopy theory, especially the theory of Topological Modular Forms (TMF). TMF is an E-infinity ring spectrum which is conjectured by […]
Algebraic Geometry in String Theory Seminar Pre-talk Speaker: Kai Xu (CMSA): 10:00-10:30 am Speaker: Kai Xu (CMSA) Title: Motivic decomposition of moduli space from brane dynamics Abstract: Supersymmetric gauge theories encode deep structures in algebraic geometry, and geometric engineering gives a powerful way to understand the underlying structures by string/M theory. In this talk we will see […]
Speaker: Yu-Shen Lin (Boston University) Title: Gravitational Instantons Abstract: Gravitational instantons were introduced by Hawking as building blocks of his Euclidean quantum gravity theory back in the 1970s. These are non-compact Calabi-Yau surfaces with L2 curvature and thus can be viewed as the non-compact analogue of K3 surfaces. K3 surfaces are 2-dimensional Calabi-Yau manifolds and […]
General Relativity Seminar Speaker: Chethan Krishnan (IISc Bangalore) Title: A Smooth Horizon without a Smooth Horizon Abstract: I will talk about some work that is about to appear, where we note one precise way in which the stretched horizon can simulate a smooth horizon. I will also make an effort to put things in some perspective (brickwalls, […]
CMSA Q and A Seminar Speakers: Dan Freed (Harvard Math & CMSA) and Dan Berwick-Evans (University of Illinois at Urbana-Champaign) Topics: Dan Freed: What is framing anomaly? How is it different from other anomalies? Dan Berwick-Evans: What is Atiyah-Singer index theorem?
https://youtu.be/7sA3r5M1oT8 <strong>Topological Quantum Matter Seminar</strong> <strong>Speaker:</strong> Ho Tat Lam, MIT <strong>Title:</strong> Dipolar and modulated symmetry protected topological phases <strong>Abstract:</strong> Modulated symmetries are symmetries whose symmetry generators exhibit spatial modulations. We will discuss one-dimensional symmetry protected topological (SPT) phases protected by modulated symmetries. We will present a simple recipe for constructing modulated SPT models by generalizing the […]
Member Seminar Speaker: Benjamin McKenna Title: Random matrices and large deviations Abstract: We give a generalist overview of random matrices and their (a)typical behaviors. In recent years, classical results have been complemented by a variety of new ones, in both the math and physics literatures, whose proofs leverage connections with special integrals over matrix groups. Some of these […]