3 citations · 3 across the 4 of their papers we have counts for
10 papers
Equivariant (-)homology of affine Grassmannian and Toda lattice
Roman Bezrukavnikov, Michael Finkelberg, Ivan MirkoviÄ
For an almost simple complex algebraic group with affine Grassmannian we consider the equivariant homology , and -theory $K^…
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…
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…
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…
Equivariant Satake category and Kostant-Whittaker reduction
Roman Bezrukavnikov, Michael Finkelberg
We explain (following V. Drinfeld) how the equivariant derived category of the affine Grassmannian can be described in terms of coherent sheaves on the Langlands dual Lie algebra e…
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…