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Moduli of vector bundles on curve and semiorthogonal decomposition

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

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 […]

Topological modular forms and heretoric string theory

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

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 […]

Motivic decomposition of moduli space from brane dynamics

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

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 […]

Gravitational Instantons

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

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 […]

A Smooth Horizon without a Smooth Horizon

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 10/3/2023

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

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?

Dipolar and modulated symmetry protected topological phases

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

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 […]

Random matrices and large deviations 

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

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 […]

Tidal Squeezing of Black Holes

General Relativity Seminar Speaker: Maria Rodriguez (Utah) Title: Tidal Squeezing of Black Holes Abstract: Recent developments indicate that Kerr black holes do not deform when perturbed by a static external gravitational field. Relying on hidden symmetries, compelling progress has been achieved to explain that Love numbers for Kerr black holes vanish. How does the phenomenon of tidal squeezing manifest in broader […]

CMSA Q and A Seminar 10/10/23

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

CMSA Q and A Seminar Speakers: Dan Freed (Harvard Math and CMSA) and Sunghyuk Park (CMSA) Topics: Dan Freed: What is Dijkgraaf-Witten theory? Sunghyuk Park: What happened at the Clay Math Institute Workshop?

LeanDojo: Theorem Proving with Retrieval-Augmented Language Models

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

https://youtu.be/u-pkmdkQoMU New Technologies in Mathematics Seminar Speaker: Alex Gu, MIT Dept. of EE&CS Title: LeanDojo: Theorem Proving with Retrieval-Augmented Language Models Abstract: Large language models (LLMs) have shown promise in proving formal theorems using proof assistants such as Lean. However, existing methods are difficult to reproduce or build on, due to private code, data, and large compute […]

Non-invertible symmetries, leptons, quarks, and why multiple generations

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

Quantum Matter Seminar Speaker: Seth Koren (Notre Dame) Title: Non-invertible symmetries, leptons, quarks, and why multiple generations Abstract: Generalized global symmetries are present in theories of particle physics, and understanding their structure can give insight into these theories and UV completions thereof.  After discussing the generalized symmetries of the Standard Model, we will go Beyond and show […]