403 citations · 1.5k across the 66 of their papers we have counts for
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Residue construction of Hecke algebras
Victor Ginzburg, Mikhail Kapranov, Eric Vasserot
Hecke algebras are usually defined algebraically, via generators and relations. We give a new algebro-geometric construction of affine and double-affine Hecke algebras (the former…
Perverse sheaves on a Loop group and Langlands' duality
Victor Ginzburg
An intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of a tensor category of perverse sheaves on the loo…
Elliptic Algebras and Equivariant Elliptic Cohomology
Victor Ginzburg, Mikhail Kapranov, Eric Vasserot
In this paper we explain the parallelism in the classification of three different kinds of mathematical objects: (i) Classical r-matrices. (ii) Generalized cohomology theories that…
Langlands Reciprocity for Algebraic Surfaces
Victor Ginzburg, Mikhail Kapranov, Eric Vasserot
This note is an attempt to extend "Geometric Langlands Conjecture" from algebraic curves to algebraic surfaces. We introduce certain Hecke-type operators on vector bundles on an al…