Number theoretic applications of the theory of types for padic groups
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If you have a question about this talk, please contact Tom Fisher.
Let G be a reductive group over a nonarchimedean local field. A type
for G is a representation of a compact open subgroup K that
characterizes representations of G up to inertia. A variation on this
theme is to fix K to be a maximal compact subgroup. I will describe a
partial classification of such types for G = GL(n), which yields an
inertial local Langlands correspondence. I will also define a notion
of global type, and give some applications to automorphic forms and
Galois representations.
This talk is part of the Number Theory Seminar series.
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