Twisted Whittaker model and factorizable sheaves |
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Authors: | D Gaitsgory |
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Institution: | (1) Department of Mathematics, Harvard University, Cambridge, MA 02138, USA |
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Abstract: | Let G be a reductive group. The geometric Satake equivalence realized the category of representations of the Langlands dual group
Ğ in terms of spherical perverse sheaves (or D-modules) on the affine Grassmannian GrG = G((t))/Gt]] of the original group G. In the present paper we perform a first step in realizing the category of representations of the quantum group corresponding
to Ğ in terms of the geometry of GrG. The idea of the construction belongs to Jacob Lurie. |
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Keywords: | 17B37 22E67 |
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