Modules over the small quantum group and semi-infinite flag manifold
S. Arkhipov, R. Bezrukavnikov, A. Braverman, D. Gaitsgory, I. Mirković
Abstract
We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t))· 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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