Automorphic functions as the trace of Frobenius

Autor: Arinkin, D., Gaitsgory, D., Kazhdan, D., Raskin, S., Rozenblyum, N., Varshavsky, Y.
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We prove that the trace of the Frobenius endofunctor of the category of automorphic sheaves with nilpotent singular support maps isomorphically to the space of unramified automorphic functions, settling a conjecture from [AGKRRV1]. More generally, we show that traces of Frobenius-Hecke functors produce shtuka cohomologies.
Databáze: arXiv