University of Toronto

Thu 25 May 2017, 3:30pm
SPECIAL
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

Ordinary representations and locally analytic socle for GL_n(Q_p)

ESB 4127
Thu 25 May 2017, 3:30pm4:30pm
Abstract
Suppose that rho is an irreducible automorphic ndimensional global padic Galois representation that is uppertriangular locally at p. In previous work with Breuil we constructed a unitary representation of GL_n(Q_p) on a padic Banach space (depending only on rho locally at p) that is an extension of finitely many principal series, and we conjectured that this representation occurs globally in a space of padic automorphic forms cut out by rho. In work in progress we prove many new cases of this conjecture, assuming that rho is moreover crystalline with distinct HodgeTate weights.
hide

Seminar Information Pages
