霍奇班和雅克-朗兰的通信

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2018-06-27 DOI:10.1017/fmp.2023.20

Atsushi Ichino, Kartik Prasanna

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引用次数: 6

摘要

摘要证明了四元数Shimura变上同调自同构形式的Jacquet-Langlands对应是由一个Hodge类实现的。在酉相似群上的Shimura变的Kottwitz猜想的条件下，我们还证明了该类在$\ well $ -进上同调中的象对所有$\ well $都是伽罗瓦不变的。

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Hodge classes and the Jacquet–Langlands correspondence

Abstract We prove that the Jacquet–Langlands correspondence for cohomological automorphic forms on quaternionic Shimura varieties is realized by a Hodge class. Conditional on Kottwitz’s conjecture for Shimura varieties attached to unitary similitude groups, we also show that the image of this Hodge class in $\ell $ -adic cohomology is Galois invariant for all $\ell $ .

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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