$l=p$， II的局部全局兼容性

IF 1.3 1区数学 Q1 MATHEMATICS

Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2011-05-11 DOI:10.24033/ASENS.2212

Thomas Barnet-Lamb, Toby Gee, D. Geraghty, Richard Taylor

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引用次数: 43

摘要

我们证明了在虚CM或全实数域上与正则代数本质(共轭)自对偶自同构GL_n表示相关的l进伽罗瓦表示的局部和全局朗兰兹对应在除l处的相容性。我们证明了这种相容性在所有情况下达到半简化，在辛正则权的情况下达到Frobenius半简化。

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Local-global compatibility for $l=p$, II

We prove the compatibility at places dividing l of the local and global Langlands correspondences for the l-adic Galois representations associated to regular algebraic essentially (conjugate) self-dual cuspidal automorphic representations of GL_n over an imaginary CM or totally real field. We prove this compatibility up to semisimplification in all cases, and up to Frobenius semisimplification in the case of Shin-regular weight.

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来源期刊

Annales Scientifiques De L Ecole Normale Superieure 数学-数学

CiteScore

3.00

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Annales scientifiques de l''École normale supérieure were founded in 1864 by Louis Pasteur. The journal dealt with subjects touching on Physics, Chemistry and Natural Sciences. Around the turn of the century, it was decided that the journal should be devoted to Mathematics. Today, the Annales are open to all fields of mathematics. The Editorial Board, with the help of referees, selects articles which are mathematically very substantial. The Journal insists on maintaining a tradition of clarity and rigour in the exposition. The Annales scientifiques de l''École normale supérieures have been published by Gauthier-Villars unto 1997, then by Elsevier from 1999 to 2007. Since January 2008, they are published by the Société Mathématique de France.