The base change fundamental lemma for central elements in parahoric Hecke algebras
Representation Theory
2019-12-19 v3 Number Theory
Abstract
Clozel and Labesse proved the base change fundamental lemma for spherical Hecke algebras attached to an unramified group over a p-adic field. This paper proves an analogous fundamental lemma for centers of parahoric Hecke algebras attached to the same class of groups. This provides an ingredient needed for the author's program to study Shimura varieties with parahoric level structure at p.
Cite
@article{arxiv.0808.3426,
title = {The base change fundamental lemma for central elements in parahoric Hecke algebras},
author = {Thomas J. Haines},
journal= {arXiv preprint arXiv:0808.3426},
year = {2019}
}
Comments
No figures; 53 pages. Statement of Lemma 4.2.1 modified; minor corrections in section 5; minor expositional changes; final version -- to appear in Duke Math J