The base change fundamental lemma for central elements in parahoric Hecke algebras

Details The base change fundamental lemma for central elements in parahoric Hecke algebras The base change fundamental lemma for central elements in parahoric Hecke algebras

2008-08-26

arxiv.org/abs/0808.3426v3

Duke Math J., vol. 149, no.3 (2009), 569-643.

Mathematics

Representation Theory

No figures; 53 pages. Statement of Lemma 4.2.1 modified; minor corrections in section 5; minor expositional changes; final ver

Scientific paper

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.

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