31 citations · 42 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Relation between two geometrically defined bases in representations of
Alexander Braverman, Dennis Gaitsgory, Maxim Vybornov
Let be an irreducible representation of group , which appears as a submodule in , where is the tautological -…
Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations
Dennis Gaitsgory, David Kazhdan
Let be a split reductive group over a local field $\bK$, and let be the corresponding loop group. In \cite{GK} we have introduced the notion of a representation of (th…
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 , where is an algebraic group over a local field . The main feature of thi…
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 , where is a reductive group, and $\bF$ is a 2-dimensional local field, i.e. , where …