Relative Fundamental Lemmas for Spherical Hecke Algebras and Multiplicative Hitchin Fibrations: the Jacquet--Rallis Case

Autor:	Wang, X. Griffin, Zhang, Zhiyu
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We prove the Jacquet--Rallis fundamental lemma for spherical Hecke algebras over local function fields using multiplicative Hitchin fibrations. Our work is inspired by the proof of [Yun11] in the Lie algebra case and builds upon the general framework of multiplicative Hitchin fibrations in [Wang24]. Comment: 70 pages; added some background information and a few references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.15155 Zobrazit plný text záznamu View this record from Arxiv