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Revêtements du demi-plan de Drinfeld et correspondance de Langlands p-adique (1509.00606v2)
Published 2 Sep 2015 in math.NT
Abstract: We describe the de Rham complex of the \'etale coverings of Drinfeld's p-adic upper half-plane for GL_2(Q_p). Conjectured by Breuil and Strauch, this description gives a geometric realization of the p-adic local Langlands correspondence for certain two-dimensional de Rham representations of the absolute Galois group of Q_p.
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