5 papers · 1 filter
D-modules on the affine Grassmannian and representations of affine Kac-Moody algebras
E. Frenkel, D. Gaitsgory
Let be a simple Lie algebra. For a level (thought of as a symmetric -invariant form of ), let be the corresp…
On the geometric Langlands conjecture
E. Frenkel, D. Gaitsgory, K. Vilonen
Let X be a smooth, complete, geometrically connected curve over a field of characteristic p. The geometric Langlands conjecture states that to each irreducible rank n local system…
Differential operators and the loop group via chiral algebras
S. Arkhipov, D. Gaitsgory
Let be an algebraic group and let be the corresponding affine algebra on some level. Consider the induced module $V:=Ind^{\widetilde{\mathfrak g}}_{{\…
Geometric Eisenstein series
A. Braverman, D. Gaitsgory
The purpose of this of this paper is to develop the theory of Eisenstein series in the framework of geometric Langlands correspondence. Our construction is based on the study of ce…
On Ginzburg's Lagrangian construction of representations of GL(n)
A. Braverman, D. Gaitsgory
In 1991 V. Ginzburg observed that one can realize irreducible representations of the group in the cohomology of certain Springer's fibers for the group GL(d) (for all nat…