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

Related News

0
Induced vector bundles of corepresentations and Real representations
Induced vector bundles of corepresentations and Real representationsAbstractIn his work on maps between classifying spaces of compact Lie groups, Frank Adams studied the image of the natural homomorphism α: R(G)—>K(BG) for a compact Lie group G. Specififically he proved that the image of α coincides with the subgroup of elements of K(BG) generated by those elements with only fifinitely many ...
1
Geometric Foundations for Metaverse
AbstractThis course will cover the geometric foundations of metaverse technologies, including the main concepts and theorems in algebraic topology, differential geometry, Riemann surface theory and optimal transportation theory. Then the computational methods for persistent homology, conformal parameterization, mesh generation, surface Ricci flow and the optimal transportation maps will be intr...