English

L'espace de Drinfeld et correspondance de Langlands locale II

Number Theory 2014-11-06 v2 Representation Theory

Abstract

We study the geometry and the cohomology of the tamely ramified cover of Drinfeld's pp-adic symmetric space. For this tame level, we prove, in a purely local way, most of a conjecture of Harris on the form of the \ell-adic cohomologies, as well as the torsion freeness of the integral cohomology. During the study, we obtain some results of independent interest on the coefficient systems over the Bruhat-Tits building associated to GLd(K).GL_d(K).

Keywords

Cite

@article{arxiv.1402.1965,
  title  = {L'espace de Drinfeld et correspondance de Langlands locale II},
  author = {Haoran Wang},
  journal= {arXiv preprint arXiv:1402.1965},
  year   = {2014}
}

Comments

in French