Linear Periods of Automorphic Sheaves for GL2n-Reference-Cited by-同舟云学术

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Linear Periods of Automorphic Sheaves for GL2n

Published:2021-05-10 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Lysenko S¹

Affiliation:

1. Institut Élie Cartan Nancy (Mathématiques), Université de Lorraine, B.P. 239, F-54506 Vandoeuvre-lès-Nancy Cedex, France

Abstract

Abstract We calculate, in the framework of the geometric Langlands program, the periods of cuspidal automorphic sheaves for $\operatorname{GL}_{2n}$ along the Levi subgroup $\operatorname{GL}_n\times \operatorname{GL}_n$. We also solve the corresponding local problem.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab077/37901454/rnab077.pdf

Reference18 articles.

1. Geometric realization of Whittaker functions and the Langlands conjecture;Frenkel;J of AMS,1998

2. On the geometric Langlands conjecture;Frenkel;J. of AMS.,2001

3. Whittaker patterns in the geometry of moduli spaces of bundles on curves;Frenkel,2001

4. Linear periods;Friedberg;J. Reine Angew. Math.,1993

5. On a vanishing conjecture appearing in the geometric Langlands correspondence;Gaitsgory;Annals of Math. Second Series,2004

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Vanishing linear periods of cuspidal automorphic sheaves for _{+};Proceedings of the American Mathematical Society;2024-05-15

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