135 citations · 176 across the 8 of their papers we have counts for
12 papers
Modules over the small quantum group and semi-infinite flag manifold
S. Arkhipov, R. Bezrukavnikov, A. Braverman +2
We develop a theory of perverse sheaves on the semi-infinite flag manifold , and show that the subcategory of Iwahori-monodromy perverse sheaves is equiv…
On Deformations of Associative Algebras
Roman Bezrukavnikov, Victor Ginzburg
In a classic paper, Gerstenhaber showed that first order deformations of an associative k-algebra A are controlled by the second Hochschild cohomology group of A. More generally, a…
Homological properties of representations of p-adic groups related to geometry of the group at infinity
Roman Bezrukavnikov
Geometry of buildings is used to prove some homological properties of the category of smooth representations of a reductive p-adic group (Kazhdan's "pairing conjecture", Bernstein'…
Cohomology of tilting modules over quantum groups and -structures on derived categories of coherent sheaves
Roman Bezrukavnikov
The paper is concerned with cohomology of the small quantum group at a root of unity, and of its upper triangular subalgebra, with coefficients in a tilting module. We relate it to…
Fedosov quantization in algebraic context
R. Bezrukavnikov, D. Kaledin
We consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. We show that, under appropriate cohomological assumptions, the Fedosov quan…
Quantum Groups, the loop Grassmannian, and the Springer resolution
Sergey Arkhipov, Roman Bezrukavnikov, Victor Ginzburg
We establish equivalences of derived categories of the following 3 categories: (1) Principal block of representations of the quantum at a root of 1; (2) G-equivariant coherent shea…