Geometric representations of vertex algebras

Speaker:Gurbir Dhillon (Yale University)
Schedule:Thursday, Dec. 28, 2023, 2:00 pm-5:00 pm; Thursday, Jan. 4, 2024, 2:00 pm-5:00 pm
Venue:Classroom A513, Shuangqing Complex Building A(清华大学双清综合楼A座A513教室)


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.