Affine Beilinson-Bernstein localization at the critical level for $\mathrm{GL}_2$

IF 5.7 1区数学 Q1 MATHEMATICS Annals of Mathematics Pub Date : 2022-01-01 DOI:10.4007/annals.2022.195.1.4

David H Yang, S. Raskin

引用次数: 2

Abstract

. We prove the Frenkel-Gaitsgory localization conjecture describing regular Kac-Moody representations at critical level via eigensheaves on the aﬃne Grassmannian using categorical Moy-Prasad theory. This extends previous work of the authors.

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$\mathrm临界水平上的Affine-Beilinson-Bernstein局部化{GL}_2$

．我们利用范畴Moy-Prasad理论证明了在仿射Grassmannian上通过特征轴在临界水平上描述正则Kac-Moody表示的Frenkel-Gaitsgory局部化猜想。这扩展了作者以前的工作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.

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