403 citations · 1.5k across the 66 of their papers we have counts for
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Harish-Chandra bimodules for quantized Slodowy slices
Victor Ginzburg
The Slodowy slice is an especially nice slice to a given nilpotent conjugacy class in a semisimple Lie algebra. Premet introduced noncommutative quantizaions of the Poisson algebra…
Free products, cyclic homology, and the Gauss-Manin connection
Victor Ginzburg, Travis Schedler, Boris Tsygan
We present a new approach to cyclic homology that does not involve the Connes differential and is based on a `noncommutative equivariant de Rham complex' of an associative algebra.…
On mirabolic D-modules
Michael Finkelberg, Victor Ginzburg
Let an algebraic group G act on X, a connected algebraic manifold, with finitely many orbits. For any Harish-Chandra pair (D,G) where D is a sheaf of twisted differential operators…
Mirabolic affine Grassmannian and character sheaves
Michael Finkelberg, Victor Ginzburg, Roman Travkin
We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups o…