Benjamin Schraen: Classicality on eigenvarieties
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I'll explain how one can use the patching method to obtain finer classicality results on eigenvarieties for definite unitary groups. We obtain new cases of classicality for finite slope p-adic automorphic forms whose associated Galois representation are crystalline at p. Patching methods translate the problem to a local analysis of the space of trianguline representations. This is joint work with Christophe Breuil and Eugen Hellmann.
Recording during the thematic meeting: "Arithmetic geometry, representation theory and applications" the June 25, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent