CONGRUENCES AUTOMORPHES ET TORSION DANS LA COHOMOLOGIE D'UNE VARIÉTÉ DE SHIMURA UNITAIRE SIMPLE

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.
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https://hal.archives-ouvertes.fr/hal-01390143
Contributor : Pascal Boyer <>
Submitted on : Monday, January 2, 2017 - 10:58:55 AM
Last modification on : Wednesday, February 6, 2019 - 1:23:26 AM

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Pascal Boyer. CONGRUENCES AUTOMORPHES ET TORSION DANS LA COHOMOLOGIE D'UNE VARIÉTÉ DE SHIMURA UNITAIRE SIMPLE. 2017. ⟨hal-01390143v2⟩

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