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Journal of the Ramanujan Mathematical Society

Volume 35, Issue 2, June 2020  pp. 191–199.

p-stabilization in higher dimension

Authors:  Boyer Pascal
Author institution:Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS, UMR 7539, F-93430, Villetaneuse (France), PerCoLaTor: ANR-14-CE25

Summary:  Using l-adic completed cohomology in the context of Shimura varieties of Kottwitz-Harris-Taylor type attached to some fixed similitude group G, we prove, allowing to increase the levet at l, some new automorphic congruences between any degenerate automorphic representation with a non degenerate one of the same weight.

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