Dennis Gaitsgory

most citedThe notion of category over an algebraic stack

31 citations · 43 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2005★ 1 cited

Local geometric Langlands correspondence and affine Kac-Moody algebras

Edward Frenkel, Dennis Gaitsgory

By a local geometric Langlands correspondence for a complex reductive group G we understand a construction which assigns to a local system on the punctured disc for the Langlands d…

math.AG2005★ 31 cited

The notion of category over an algebraic stack

Dennis Gaitsgory

The goal of this note is to spell out the (apparently well-known and intuitively clear) notion of abelian category over an algebraic stack. In the future we will discuss the (much…

math.AG2005★ 1 cited

Modules over the small quantum group and semi-infinite flag manifold

S. Arkhipov, R. Bezrukavnikov, A. Braverman +2

We develop a theory of perverse sheaves on the semi-infinite flag manifold $G ((t)) / N ((t)) \cdot T [[t]]$ , and show that the subcategory of Iwahori-monodromy perverse sheaves is equiv…

math.AG2004★ 3 cited

Hecke operators on quasimaps into horospherical varieties

D. Gaitsgory, D. Nadler

Let $G$ be a connected reductive complex algebraic group. This paper is part of a project devoted to the space $Z$ of meromorphic quasimaps from a curve into an affine spherical $G…

math.RT2004★ 3 cited

Relation between two geometrically defined bases in representations of $G L_{n}$

Alexander Braverman, Dennis Gaitsgory, Maxim Vybornov

Let $V$ be an irreducible representation of group $G L_{n} (C)$ , which appears as a submodule in $(C^{n})^{\otimes d}$ , where $C^{n}$ is the tautological $n$ -…

math.RT2004★ 1 cited

Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations

Dennis Gaitsgory, David Kazhdan

Let $G$ be a split reductive group over a local field $\bK$, and let $G ((t))$ be the corresponding loop group. In \cite{GK} we have introduced the notion of a representation of (th…