Lefschetz operator and local Langlands modℓ: The regular case

Abstract

AbstractLetpandℓbe two distinct primes. The aim of this paper is to show how, under a certain congruence hypothesis, the modℓcohomology complex of the Lubin-Tate tower, together with a natural Lefschetz operator, provides a geometric interpretation of Vignéras’s local Langlands correspondence moduloℓfor unipotent representations.