Base change for Bernstein centers of depth zero principal series blocks

Details Base change for Bernstein centers of depth zero principal series blocks Base change for Bernstein centers of depth zero principal series blocks

2010-12-22

arxiv.org/abs/1012.4968v2

Mathematics

Representation Theory

40 pages, no figures. Minor mistake in section 10 corrected

Scientific paper

Let $G$ be an unramified group over a $p$-adic field. This article introduces
a base change homomorphism for Bernstein centers of depth-zero principal series
blocks for $G$ and proves the corresponding base change fundamental lemma. This
result is used in the approach to Shimura varieties with $\Gamma_1(p)$-level
structure initiated by M. Rapoport and the author in [HR2].

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