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Regular version of the site

Article

Mirabolic Satake equivalence and supergroups

Compositio Mathematica. 2021. Vol. 157. No. 8. P. 1724-1765.
Braverman A., Michael Finkelberg, Ginzburg V., Travkin R.

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