Jonathan P. Wang : Derived Satake equivalence for Godement-Jacquet monoids
Godement-Jacquet use the Schwartz space of n-by-n matrices to construct the standard L-function for GL_n. Ben-Zvi, Sakellaridis and Venkatesh conjecture that the local unramified part of this theory can be categorified to an equivalence between an 'analytic' category of constructible sheaves and a 'spectral' category of dg modules. In this talk I will explain the proof of this equivalence and some of its properties. I will also discuss connections to conjectures of Braverman-Kazhdan on constructions of general automorphic L-functions. This is joint work with Tsao-Hsien Chen (in preparation).
- Category: Number Theory
- Duration: 01:34:40
- Date: November 10, 2021 at 3:10 PM
- Tags: seminar, Number Theory Seminar