403 citations · 1.5k across the 66 of their papers we have counts for
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Wall-Crossing functors and D-modules
Alexander Beilinson, Victor Ginzburg
We study Translation functors and Wall-Crossing functors on infinite dimensional representations of a complex semisimple Lie algebra using D-modules. This functorial machinery is t…
The global nilpotent variety is Lagrangian
Victor Ginzburg
The purpose of this note is to present a short elementary proof of a theorem due to Faltings and Laumon, saying that the global nilpotent cone is a Lagrangian substack in the cotan…
Conjugacy classes in loop groups and G-bundles on elliptic curves
Vladimir Baranovsky, Victor Ginzburg
We added an additional result (theorem 1.6) that strengthenns our main theorem in the G=GL-case by establishing an equivalence of tensor categories.
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…