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Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1 (1704.08928v2)
Published 28 Apr 2017 in math.NT, math.AG, and math.RT
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 Q_p, this cohomology encodes the p-adic local Langlands correspondence for 2-dimensional de Rham representations (of weight 0 and 1).
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