The integral Bernstein center for GL(n)

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• David Helm (Imperial)
• Tuesday 29 October 2013, 16:15-17:15
• MR13.

If you have a question about this talk, please contact James Newton.

The Bernstein center is a ring, first studied by Bernstein and Deligne, that serves a purpose in the representation theory of p-adic groups that is analogous to the role played by the center of the group ring in the theory of finite groups. We consider the Bernstein center in the context of the modular representation theory of GL_n(F), where F is a p-adic field, in characteristics prime to p. We will prove basic structural results about the Bernstein center in this context, and describe work in progress that relates the Bernstein center to the deformation theory of Galois representations via a “local Langlands correspondence in families”.

This talk is part of the Number Theory Seminar series.

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