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arXiv · 2207.03115

Orthosymplectic Satake equivalence, II

Alexander Braverman·Michael Finkelberg·Roman Travkin
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Abstract

This is a companion paper of arXiv:1909.11492 and arXiv:1912.01930. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of twisted $Sp(2n,{\mathbb C}[\![t]\!])$-equivariant $D$-modules on the so called mirabolic affine Grassmannian of $Sp(2n)$. We also discuss (conjectural) extension of this equivalence to the case of quantum supergroups and to some exceptional supergroups.

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BibTeXRIS

Alexander Braverman, Michael Finkelberg, Roman Travkin. 2022-07-07. Orthosymplectic Satake equivalence, II. https://arxiv.org/abs/2207.03115

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