Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1

Author:

Colmez Pierre,Dospinescu Gabriel,Nizioł Wiesława

Abstract

We compute the p p -adic geometric étale cohomology of the coverings of the Drinfeld half-plane, and we show that, if the base field is Q p \mathbf {Q}_p , this cohomology encodes the p p -adic local Langlands correspondence for 2 2 -dimensional de Rham representations (of weight 0 0 and 1 1 ).

Funder

Agence Nationale de la Recherche

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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