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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