$p$-stabilization in higher dimension

Abstract

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.

arXiv admin note: text overlap with arXiv:1712.06824

References in corpus (2)

• Congruences automorphes et torsion dans la cohomologie d'un système local d'Harris-Taylor
• Torsion classes in the cohomology of KHT Shimura varieties

Cited by in corpus (2)

• Local Ihara's lemma and applications
• Construction of torsion cohomology classes for KHT Shimura varieties