72 citations · 230 across the 54 of their papers we have counts for
59 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…
Steinberg quotients and Smith-Treumann localization
Pramod N. Achar, Paul Sobaje
Smith-Treumann localization for sheaves on the affine Grassmannian of a reductive group has previously been studied by Leslie-Lonergan (for spherical sheaves) and by Riche-Williams…
Tilting modules for reductive algebraic groups: characters and support varieties
Pramod N. Achar, Simon Riche
These notes are our contribution to the Proceedings of the ICM 2026. We discuss some results we have obtained (in part jointly with coauthors) regarding the representation theory o…
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…
On global Schubert varieties for the general linear group
Pramod N. Achar, Andrea Bourque
We give a "lattice-theoretic" description of the global Schubert variety for associated to any dominant coweight.