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arXiv · 1509.00606

Revêtements du demi-plan de Drinfeld et correspondance de Langlands p-adique

Gabriel Dospinescu·Arthur-César Le Bras
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Abstract

We describe the de Rham complex of the étale 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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Gabriel Dospinescu, Arthur-César Le Bras. 2017-04-28. Revêtements du demi-plan de Drinfeld et correspondance de Langlands p-adique. https://arxiv.org/abs/1509.00606

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