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Automorphic congruences and torsion in the cohomology of a simple unitary Shimura variety
- 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 :
- Mathematics - Number Theory
Subjects
Details
- Language :
- French
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1610.10020
- Document Type :
- Working Paper