Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1
arXiv:1704.08928
Abstract
We compute the p-adic geometric étale cohomology of the coverings of Drinfeld's half-plane, and we show that, if the base field is Q_p, this cohomology encodes the p-adic local Langlands correspondence for 2-dimensional de Rham representations (of weight 0 and 1).
in French, minor corrections and comments added