54 citations · 259 across the 30 of their papers we have counts for
6 papers · 1 filter
Conjectures on tilting modules and antispherical -cells
Pramod N. Achar, William Hardesty, Simon Riche
For quantum groups at a root of unity, there is a web of theorems (due to Bezrukavnikov and Ostrik, and relying on work of Lusztig) connecting the following topics: (i) tilting mod…
Integral exotic sheaves and the modular Lusztig-Vogan bijection
Pramod N. Achar, William Hardesty, Simon Riche
Let G be a reductive group over an algebraically closed field k of very good characteristic. The Lusztig-Vogan bijection is a bijection between the set of dominant weights for G an…
A topological approach to Soergel theory
Roman Bezrukavnikov, Simon Riche
We develop a "Soergel theory" for Bruhat-constructible perverse sheaves on the flag variety of a complex reductive group , with coefficients in an arbitrary field .…
An Iwahori-Whittaker model for the Satake category
Roman Bezrukavnikov, Dennis Gaitsgory, Ivan Mirković +2
In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite…
The parabolic exotic t-structure
Pramod Achar, Nicholas Cooney, Simon Riche
Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its f…
Mixed perverse sheaves on flag varieties of Coxeter groups
Pramod N. Achar, Simon Riche, Cristian Vay
In this paper we construct an abelian category of "mixed perverse sheaves" attached to any realization of a Coxeter group, in terms of the associated Elias-Williamson diagrammatic…