A stratification of the moduli space of local systems on the punctured disc and applications

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Monday, January 29, 2024 - 4:30pm
Location: 
KT 217
Speaker: 
David Yang
Speaker affiliation: 
MIT
Event description: 

Abstract: We will define a stratification on the moduli space of local systems on the punctured disc and prove some properties of it. This stratification has a counterpart for categories with an action of the loop group, and we will describe a conjectural application of this formalism to the representation theory of W-algebras.