Base change for Bernstein centers of depth zero principal series blocks

preprint2011arXivOpen access

Abstract

Let GG be an unramified group over a pp-adic field. This article introduces a base change homomorphism for Bernstein centers of depth-zero principal series blocks for GG and proves the corresponding base change fundamental lemma. This result is used in the approach to Shimura varieties with Γ1(p)Γ_1(p)-level structure initiated by M. Rapoport and the author in [HR2].

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