p-STABILIZATION IN HIGHER DIMENSION

Pascal Boyer (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

— 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.

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Pascal Boyer. p-STABILIZATION IN HIGHER DIMENSION. Journal of the Ramanujan Mathematical Society, 2020, 35 (2). ⟨hal-01865255⟩