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SUMMARY:Number theoretic applications of the theory of types for p-adic gr
 oups - Will Conley (UEA)
DTSTART:20120214T143000Z
DTEND:20120214T153000Z
UID:TALK36175@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let G be a reductive group over a nonarchimedean local field. 
 A type\nfor G is a representation of a compact open subgroup K that\nchara
 cterizes representations of G up to inertia. A variation on this\ntheme is
  to fix K to be a maximal compact subgroup. I will describe a\npartial cla
 ssification of such types for G = GL(n)\, which yields an\ninertial local 
 Langlands correspondence. I will also define a notion\nof global type\, an
 d give some applications to automorphic forms and\nGalois representations.
LOCATION:MR13
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