# Twisted Whittaker Model and Factorizable Sheaves

 Title: Twisted Whittaker Model and Factorizable Sheaves Author: Gaitsgory, Dennis Citation: Gaitsgory, Dennis. 2008. Twisted Whittaker model and factorizable sheaves. Selecta Mathematica, n.s., 13(4): 617–659. Full Text & Related Files: 0705.4571v4.pdf (506.8Kb; PDF) Abstract: Let $$G$$ be a reductive group. The geometric Satake equivalence realized the category of representations of the Langlands dual group $$\check G$$ in terms of spherical perverse sheaves (or D-modules) on the affine Grassmannian $$Gr_G=G((t))/G[[t]]$$ 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 $$\check G$$ in terms of the geometry of $$Gr_G$$. The idea of the construction belongs to Jacob Lurie. Published Version: doi://10.1007/s00029-008-0053-0 Other Sources: http://arxiv.org/abs/0705.4571v4 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10043334 Downloads of this work: