Dennis Gaitsgory

most citedThe notion of category over an algebraic stack

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

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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.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…

math.RT2004

Algebraic groups over a 2-dimensional local field: some further constructions

Dennis Gaitsgory, David Kazhdan

In math.RT/0302174 we developed a framework to study representations of groups of the form $G ((t))$ , where $G$ is an algebraic group over a local field $K$ . The main feature of thi…

math.RT2003

Representations of algebraic groups over a 2-dimensional local field

D. Gaitsgory, D. Kazhdan

We introduce a categorical framework for the study of representations of $G_{F}$ , where $G$ is a reductive group, and $\bF$ is a 2-dimensional local field, i.e. $F = K ((t))$ , where $K$ …