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Lefschetz operator and local Langlands mod ℓ: The regular case

Published online by Cambridge University Press:  11 January 2016

Jean-François Dat
Jean-François Dat*
Affiliation:
Université Pierre et Marie Curie, Institut de Mathématiques de Jussieu, 4 place Jussieu, 75005 Paris, France, dat@math.jussieu.fr
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Abstract

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Let p and ℓ be two distinct primes. The aim of this paper is to show how, under a certain congruence hypothesis, the mod ℓ cohomology complex of the Lubin-Tate tower, together with a natural Lefschetz operator, provides a geometric interpretation of Vignéras’s local Langlands correspondence modulo ℓ for unipotent representations.

Keywords

11S3711F7014G35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 208: Memorial Volume for Professor Hiroshi Saito , December 2012 , pp. 1 - 38
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

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