135 citations · 541 across the 62 of their papers we have counts for
77 papers
Affine Springer fiber and the small quantum group
Roman Bezrukavnikov, Pablo Boixeda Alvarez, Michael McBreen +1
We find a new geometric incarnation for the principal block in the category of modules over a quantum group at a root of unity, realizing it as a full subcategory of microsheaves o…
Modular reduction of complex representations of finite reductive groups
Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1
The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…
Perverse sheaves and t-structures on the thin and thick affine flag varieties
Roman Bezrukavnikov, Calder Morton-Ferguson
We study the categories and of Iwahori-equivariant perverse sheaves on the thin and thick affine flag varieties ass…
Categorical Heisenberg action I: rational Cherednik algebras
Roman Bezrukavnikov, Ivan Losev
In this paper we introduce and study a categorical action of the positive part of the Heisenberg Lie algebra on categories of modules over rational Cherednik algebras associated to…
On two modular geometric realizations of an affine Hecke algebra
Roman Bezrukavnikov, Simon Riche
In this paper we construct equivalences of monoidal categories relating three geometric or representation-theoretic categorical incarnations of the affine Hecke algebra of a connec…
Generic character sheaves on parahoric subgroups
Roman Bezrukavnikov, Charlotte Chan
We study parabolic induction producing -adic sheaves on a parahoric subgroup scheme in the loop group of a reductive group. Under a genericity assumption on the input data, w…