Proof of the geometric Langlands conjecture I: construction of the functor

Autor:	Gaitsgory, Dennis, Raskin, Sam
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We construct the geometric Langlands functor in one direction (from the automorphic to the spectral side) in characteristic zero settings (i.e., de Rham and Betti). We prove that various forms of the conjecture (de Rham vs Betti, restricted vs. non-restricted, tempered vs. non-tempered) are equivalent. We also discuss structural properties of Hecke eigensheaves.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.03599 Zobrazit plný text záznamu View this record from Arxiv