University of Cambridge > Talks.cam > Number Theory Seminar > Ordinary representations and locally analytic socle for GL_n(Q_p)

Ordinary representations and locally analytic socle for GL_n(Q_p)

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  • UserFlorian Herzig (University of Toronto)
  • ClockTuesday 05 December 2017, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Jack Thorne.

Suppose that rho is an irreducible automorphic n-dimensional global p-adic Galois representation that is upper-triangular locally at p. In previous work with Breuil we constructed a unitary representation of GL_n(Q_p) on a p-adic 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 p-adic automorphic forms cut out by rho. In work in progress we prove many new cases of this conjecture, assuming that rho is moreover crystalline.

This talk is part of the Number Theory Seminar series.

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