31 citations · 62 across the 15 of their papers we have counts for
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D-modules on the affine flag variety and representations of affine Kac-Moody algebras
Edward Frenkel, Dennis Gaitsgory
We study the connection between the category of modules over the affine Kac-Moody Lie algebra at the critical level, and the category of D-modules on the affine flag scheme G((t))/…
Local Geometric Langlands Correspondence: the Spherical Case
Edward Frenkel, Dennis Gaitsgory
A module over an affine Kac--Moody algebra g^ is called spherical if the action of the Lie subalgebra g[[t]] on it integrates to an algebraic action of the corresponding group G[[t…
Weyl modules and opers without monodromy
Edward Frenkel, Dennis Gaitsgory
We prove that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regula…
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 ^LG in terms of spherical perverse sheaves (or D-m…