Loop group actions via factorization

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Monday, October 9, 2023 - 4:30pm
Location: 
KT 217
Speaker: 
Lin Chen
Speaker affiliation: 
Tsinghua
Event description: 

Abstract: We will explain and prove the following result: the (oo,2)-category of categories equipped with loop group actions can be fully faithfully embedded into the (oo,2)-category of categories equipped with *factorization* affine Grassmannian actions, i.e., D(LG)-mod \to D(Gr_G)-factmod is fully faithful. This is a joint work with Yuchen Fu, Dennis Gaitsgory and David Yang.