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Automorphic congruences and torsion in the cohomology of a simple unitary Shimura variety

Authors :
Boyer, Pascal
Publication Year :
2016

Abstract

We first give a relative flexible process to construct torsion cohomology classes for Shimura varieties of Kottwitz-Harris-Taylor type with coefficient in a non too regular local system. We then prove that associated to each torsion cohomology class, there exists a infinity of irreducible automorphic representations in characteristic zero, which are pairwise non isomorphic and weakly congruent.<br />Comment: 27 pages, written in french

Subjects

Subjects :
Mathematics - Number Theory

Details

Language :
French
Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1610.10020
Document Type :
Working Paper