403 citations · 1.5k across the 66 of their papers we have counts for
69 papers
Parabolic induction and the Harish-Chandra D-module
Victor Ginzburg
Let G be a reductive group and L a Levi subgroup. Parabolic induction and restriction are a pair of adjoint functors between Ad-equivariant derived categories of either constructib…
Mirabolic Satake equivalence and supergroups
Alexander Braverman, Michael Finkelberg, Victor Ginzburg +1
We construct a mirabolic analogue of the geometric Satake equivalence. We also prove an equivalence that relates representations of a supergroup with the category of $GL(N-1,{\math…
Differential operators on G/U and the Gelfand-Graev action
Victor Ginzburg, David Kazhdan
Let G be a complex semisimple group and U its maximal unipotent subgroup. We study the algebra D(G/U) of algebraic differential operators on G/U and also its quasi-classical counte…
Nil Hecke algebras and Whittaker D-modules
Victor Ginzburg
Given a reductive group G, Kostant and Kumar defined a nil Hecke algebra that may be viewed as a degenerate version of the double affine nil Hecke algebra introduced by Cherednik.…
Gaiotto's Lagrangian subvarieties via derived symplectic geometry
Victor Ginzburg, Nick Rozenblyum
Let Bun_G be the moduli space of G-bundles on a smooth complex projective curve. Motivated by a study of boundary conditions in mirror symmetry, D. Gaiotto associated to any symple…
Moduli spaces, indecomposable objects and potentials over a finite field
Galyna Dobrovolska, Victor Ginzburg, Roman Travkin
Given a linear category over a finite field such that the moduli space of its objects is a smooth Artin stack (and some additional conditions) we give formulas for an exponential s…