Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1
Abstract
We compute the p-adic geometric \'etale cohomology of the coverings of Drinfeld's half-plane, and we show that, if the base field is Qp, this cohomology encodes the p-adic local Langlands correspondence for 2-dimensional de Rham representations (of weight 0 and 1).
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