Resumen de Twisted Whittaker model and factorizable sheaves

Dennis Gaitsgory

• Let G be a reductive group. The geometric Satake equivalence realized the category of representations of the Langlands dual group Gˇ in terms of spherical perverse sheaves (or D-modules) on the affine Grassmannian GrG = 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 Gˇ in terms of the geometry of GrG. The idea of the construction belongs to Jacob Lurie.