Base change for Bernstein centers of depth zero principal series blocks

Thomas J. Haines

Annales scientifiques de l'École Normale Supérieure (2012)

  • Volume: 45, Issue: 5, page 681-718
  • ISSN: 0012-9593

Abstract

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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 Γ 1 ( p ) -level structure initiated by M. Rapoport and the author in [15].

How to cite

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Haines, Thomas J.. "Base change for Bernstein centers of depth zero principal series blocks." Annales scientifiques de l'École Normale Supérieure 45.5 (2012): 681-718. <http://eudml.org/doc/272126>.

@article{Haines2012,
abstract = {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 [15].},
author = {Haines, Thomas J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {orbital integrals on $p$-adic groups; Arthur-Selberg trace formula},
language = {eng},
number = {5},
pages = {681-718},
publisher = {Société mathématique de France},
title = {Base change for Bernstein centers of depth zero principal series blocks},
url = {http://eudml.org/doc/272126},
volume = {45},
year = {2012},
}

TY - JOUR
AU - Haines, Thomas J.
TI - Base change for Bernstein centers of depth zero principal series blocks
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2012
PB - Société mathématique de France
VL - 45
IS - 5
SP - 681
EP - 718
AB - 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 [15].
LA - eng
KW - orbital integrals on $p$-adic groups; Arthur-Selberg trace formula
UR - http://eudml.org/doc/272126
ER -

References

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