Automorphic gluing

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Monday, April 25, 2022 - 4:30pm
Location: 
Zoom
Speaker: 
Lin Chen
Speaker affiliation: 
IAS
Event description: 

Abstract: We prove a gluing theorem on the automorphic side of the geometric Langlands correspondence: roughly speaking, we show that the difference between DMod(BunG) and its full subcategory of tempered objects is compensated by the categories of tempered objects in DMod(BunM) for all standard Levi subgroups M \subset G. This theorem is designed to match exactly with the spectral gluing theorem, an analogous result occurring on the other side of the geometric Langlands conjecture, and is supposed to be an important step in the proof of the conjecture.This is joint work with Dario Beraldo.