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SUMMARY:The integral Bernstein center for GL(n) - David Helm (Imperial)
DTSTART:20131029T161500Z
DTEND:20131029T171500Z
UID:TALK47020@talks.cam.ac.uk
CONTACT:James Newton
DESCRIPTION:The Bernstein center is a ring\, first studied by Bernstein an
 d Deligne\, that serves a purpose in the representation theory of p-adic g
 roups 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 c
 ontext of the modular representation theory of GL_n(F)\, where F is a p-ad
 ic field\, in characteristics prime to p. We will prove basic structural r
 esults about the Bernstein center in this context\, and describe work in p
 rogress that relates the Bernstein center to the deformation theory of Gal
 ois representations via a "local Langlands correspondence in families".
LOCATION:MR13
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