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arXiv · 1909.11492

Mirabolic Satake equivalence and supergroups

Alexander Braverman·Michael Finkelberg·Victor Ginzburg·Roman Travkin
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Abstract

We construct a mirabolic analogue of the geometric Satake equivalence. We also prove an equivalence that relates representations of a supergroup with the category of $GL(N-1,{\mathbb C}[\![t]\!])$-equivariant perverse sheaves on the affine Grassmannian of $GL_N$. We explain how our equivalences fit into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.

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BibTeXRIS

Alexander Braverman, Michael Finkelberg, Victor Ginzburg, Roman Travkin. 2019-09-25. Mirabolic Satake equivalence and supergroups. https://doi.org/10.1112/s0010437x21007387

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