Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2017-04-28 DOI:10.1090/jams/935

P. Colmez, Gabriel Dospinescu, Wiesława Nizioł

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引用次数: 15

Abstract

We compute the p p -adic geometric étale cohomology of the coverings of the Drinfeld half-plane, and we show that, if the base field is Q p \mathbf {Q}_p , this cohomology encodes the p p -adic local Langlands correspondence for 2 2 -dimensional de Rham representations (of weight 0 0 and 1 1 ).

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Cohomologie𝑝-adique塔Drinfeld:维度1例

我们计算了Drinfeld半平面覆盖物的p-p-adic几何étale上同调，并证明了如果基场是Q p \mathbf{Q}_p，该上同调对2个二维de Rham表示（权重为0 0和1 1）的p p-adic局部Langlands对应关系进行编码。

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.