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.