Let F/F_0 be a quadratic extension of non-archimedean local fields of residue characteristic p different from 2. Let R be an algebraically closed field of characteristic different from p. For pi a supercuspidal representation of G=GLn(F) over R and H a unitary group in n variables contained in G, we prove that pi is distinguished by H if and only if pi is Galois invariant. When R is the complex field and F is a p-adic field, this result first as a conjecture proposed by Jacquet was proved in 2010’s by Feigon-Lapid-Offen by using global method. In this talk, I will explain how to give a local proof which works for our case in general. Moreover we further study the dimension of distinction and show that it is at most one.

Slides de l’exposé.

L’exposé sera retransmis via zoom.

ID de réunion : 976 9660 2169 ; contacter Luc Pirio pour le mot de passe.