5 papers
Categorical representations of algebraic groups in positive characteristic
Pramod N. Achar, Gurbir Dhillon, Simon Riche
In this paper we present a formalism of categorical representation theory for affine group schemes of finite type over fields (both in the weak and strong settings) which applies t…
Semi-infinite parabolic IC-sheaf II: the Ran space version
Gurbir Dhillon, Sergey Lysenko
This paper is a sequel to arXiv:2310.0638. Let G be a split reductive group. We define the parabolic semi-infinite category on the Ran version of the affine Grassmanian Gr_{G,Ran}.…
Modular intersection cohomology of Drinfeld's compactifications
Pramod N. Achar, Gurbir Dhillon, Simon Riche
We compute the dimension of the cohomology of stalks of intersection cohomology complexes on Zastava schemes and Drinfeld compactifications associated with a connected reductive al…
Semiinfinite sheaves on affine flag varieties
Pramod N. Achar, Gurbir Dhillon, Simon Riche
We study a category of semiinfinite sheaves on the affine flag variety of a connected reductive algebraic group, with coefficients in a field (of arbitrary characteristic different…
Semi-infinite parabolic IC-sheaf
G. Dhillon, S. Lysenko
Let G be a connected reductive group, P its parabolic subgroup. We consider the parabolic semi-infinite category of sheaves on the affine Grassmanian of G and construct the parabol…