D.Gaitsgory

activity

19992003

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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}}_{{\…