English

Base change for Bernstein centers of depth zero principal series blocks

Representation Theory 2011-04-11 v2 Number Theory

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)\Gamma_1(p)-level structure initiated by M. Rapoport and the author in [HR2].

Keywords

Cite

@article{arxiv.1012.4968,
  title  = {Base change for Bernstein centers of depth zero principal series blocks},
  author = {Thomas J. Haines},
  journal= {arXiv preprint arXiv:1012.4968},
  year   = {2011}
}

Comments

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