正交辛Satake等价

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2019-12-04 DOI:10.4310/CNTP.2022.v16.n4.a2

A. Braverman, M. Finkelberg, Roman Travkin

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引用次数: 7

摘要

这是arXiv的一篇配套论文：1909.11492。我们证明了在$SO_N$的仿射Grassmann上具有$SO（N-1，｛\mathbb C｝[\！[t]\！]）范畴的退化正辛超群的等价表示。我们解释了由于Gaiotto和Ben Zvi、Sakellaridis和Venkatesh的原因，这种等价性如何适应更普遍的猜想框架。

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Orthosymplectic Satake equivalence

This is a companion paper of arXiv:1909.11492. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of $SO(N-1,{\mathbb C}[\![t]\!])$-equivariant perverse sheaves on the affine Grassmannian of $SO_N$. We explain how this equivalence fits into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.