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Wednesday, September 13, 2017
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4:00pm [4:00pm] Math Dept Colloquium
Description:
Speaker: Eknath Ghate, TIFR Mumbai Title: Reductions of Galois Representations: Act 1.5 Abstract: We shall describe recent progress on the question of writing down the reductions of certain local Galois representations. We shall focus on the case of half integral slopes (especially slope 3/2) where the behaviour of the reduction is both more complicated and more interesting. Our proof uses the mod p Local Langlands Correspondence to reduce the problem to computing the reductions of certain locally algebraic representations of GL_2 of the p-adics on certain functions on the underlying tree

5:00pm