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

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

2011-08-03

arxiv.org/abs/1108.0808v1

Mathematics

Number Theory

28 p

Scientific paper

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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