A geometric interpretation of the nilpotent part of local Langlands   correspondence modulo l
  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. 
Jean-Francois Dat
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