Congruences automorphes et torsion dans la cohomologie d'un système local d'Harris-Taylor

Abstract

The principal aim of this paper is to construct torsion cohomology classes in the initial terms of a spectral sequence computing the cohomology of a Kottwitz-Harris-Taylor Shimura variety. Beside we produce some global congruences between automorphic representations.

in French, accepted for publication in Annales de l'Institut Fourier 2015

References in corpus (1)

• Un cas simple de correspondance de Jacquet-Langlands modulo l

Cited by in corpus (5)

• Sur la torsion dans la cohomologie des variétés de Shimura de Kottwitz-Harris-Taylor
• $p$-stabilization in higher dimension
• Local Ihara's lemma and applications
• Ihara's lemma and level rising in higher dimension
• Construction of torsion cohomology classes for KHT Shimura varieties