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Orthosymplectic Satake equivalence
Communications in Number Theory and Physics ( IF 1.9 ) Pub Date : 2022-10-21 , DOI: 10.4310/cntp.2022.v16.n4.a2
Alexander Braverman 1 , Michael Finkelberg 2 , Roman Travkin 3
Affiliation  

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

中文翻译:

正交辛佐竹等价

这是 [ BFGT ] 的配套论文。我们证明了在仿射 Grassmannian 上具有 $\mathrm{SO}(N-1,\mathbb{C} [\![t]\!])$-等变反常滑轮范畴的简并正交辛超群的等价关系$\mathrm{SO}_N$。我们解释了这种等价性如何适应 Gaiotto 和 Ben-Zvi、Sakellaridis 和 Venkatesh 的更一般的猜想框架。
更新日期:2022-10-21
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