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Modules over the small quantum group and semi-infinite flag manifold

S. Arkhipov·R. Bezrukavnikov·A. Braverman·D. Gaitsgory·I. Mirković
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Abstract

We develop a theory of perverse sheaves on the semi-infinite flag manifold $G((t))/N((t))\cdot T[[t]]$, and show that the subcategory of Iwahori-monodromy perverse sheaves is equivalent to the regular block of the category of representations of the small quantum group at an even root of unity.

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S. Arkhipov, R. Bezrukavnikov, A. Braverman, D. Gaitsgory, I. Mirković. 2005-05-13. Modules over the small quantum group and semi-infinite flag manifold. https://arxiv.org/abs/math/0505280

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