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

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 نشر من قبل Pascal Boyer
 تاريخ النشر 2016
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 تأليف Pascal Boyer




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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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