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A geometric interpretation of the nilpotent part of local Langlands correspondence modulo l

Published 3 Aug 2011 in math.NT, math.AG, and math.RT | (1108.0808v1)

Abstract: Let p and l be two distinct primes. We show how, under a certain congruence hypothesis, the mod l cohomology of the Lubin-Tate tower together with a certain Lefschetz operator provides a geometric interpretation of Vigneras' Langlands correspondence for a p-adic field with mod l coefficients.

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