Geometric representations of vertex algebras

Time：Thursday, Dec. 28, 2023, 2:00 - 5:00 pm; Thursday, Jan. 4, 2024, 2:00 - 5:00 pm

Venue：A513, Shuangqing Complex Building A 清华大学双清综合楼A座A513教室

Speaker：Gurbir Dhillon Yale University

Abstract

A powerful technique in representation theory is localization, wherein one identifies categories of modules for an algebra of interest with categories of D-modules or perverse sheaves. After reviewing the classical Beilinson”ŖBernstein theorem, which introduced localization for semisimple Lie algebras, we will describe some analogues for certain vertex algebras, notably W-algebras and admissible affine vertex algebras, and some expected connections and applications.

About the Speaker

Gurbir Dhillon Yale University

I am a Gibbs Assistant Professor and an NSF Postdoctoral Fellow at Yale, on leave at MPIM Bonn for 2022-3.

I finished my PhD in 2020 at Stanford, where I was co-advised by Daniel Bump and Zhiwei Yun.

I am interested in representation theory, particularly geometric representation theory, the geometric Langlands program, and chiral/vertex algebras.

DATEDecember 28, 2023

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