David Helm: Whittaker models, converse theorems, and the local Langlands correspondence for ...
Автор: Centre International de Rencontres Mathématiques
Загружено: 2015-08-05
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Let F be a p-adic field, and \ell a prime different from p. In this setting there is a conjectural correspondence (due to M. Emerton and the speaker) between families of \ell-adic representations of G_F and families of smooth \ell-adic representations of GL_n(F). We describe how this correspondence can be reinterpreted in the context of the Bernstein center, and discuss recent joint work with Gil Moss which allows us to reformulate this conjecture as a purely Galois-theoretic statement.
Recording during the thematic meeting: "Arithmetic geometry, representation theory and applications" the June 26, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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