Automorphic forms as categorical trace

Dennis Gaitsgory (Harvard)

Title: Automorphic forms as categorical trace

Abstract: In this talk we will tie together the material of the previous two talks. We will explain how to obtain the space of automorphic functions by the procedure of categorical trace. Furthermore, assuming the "restricted" form of the geometric Langlands conjecture, we will obtain an explicit expression for the space of unramified automorphic functions in terms of spectral data on the Langlands dual side. This is joint work with Arinkin, Kazhdan, Raskin, Rozenblyum and Varshavsky.



Recording taken from the Arithmetic Geometry and Quantum Field Theory seminar, organised by Jeff Harvey and Minhyong Kim