3 citations · 3 across the 4 of their papers we have counts for
14 papers · 1 filter
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…
Affine Springer fibers and depth zero L-packets
Roman Bezrukavnikov, Yakov Varshavsky
Let be a connected reductive group over a field splitting over . Following [KV,DR], a tamely unramified Langlands parameter…
Koszul Duality for Quasi-split Real Groups
Roman Bezrukavnikov, Kari Vilonen
We establish a categorical version of Vogan duality for quasi-split real groups. This proves a conjecture of Soergel in the quasi-split case.