D.Gaitsgory

activity

19992003

collaborators

6 papers

math.AG2003

D-modules on the affine Grassmannian and representations of affine Kac-Moody algebras

E. Frenkel, D. Gaitsgory

Let $g$ be a simple Lie algebra. For a level $κ$ (thought of as a symmetric $g$ -invariant form of $g$ ), let $g^_{κ}$ be the corresp…

math.AG2000

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…

math.QA2000

Another realization of the category of modules over the small quantum group

S. Arkhipov, D. Gaitsgory

Let $g$ be a semi-simple simply-connected Lie algebra and let $U_{ℓ}$ be the corresponding quantum group with divided powers, where $ℓ$ is an even order root of unity. Let in a…

math.AG2000

Differential operators and the loop group via chiral algebras

S. Arkhipov, D. Gaitsgory

Let $G$ be an algebraic group and let $g$ be the corresponding affine algebra on some level. Consider the induced module $V:=Ind^{\widetilde{\mathfrak g}}_{{\…

math.AG1999

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…

math.AG1999

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 $G L (n, C)$ in the cohomology of certain Springer's fibers for the group GL(d) (for all nat…