4 citations · 11 across the 9 of their papers we have counts for
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Exponential motives on the affine Grassmannian
Robert Cass, Thibaud van den Hove, Jakob Scholbach
We develop a notion of exponential motives on general prestacks equipped with a -action, and compare them with Whittaker motives via Gaitsgory's Kirillov model. We th…
Mod sheaves on Witt flags
Robert Cass, João Lourenço
We characterize Cohen--Macaulay and -rational perfect schemes in terms of their perverse étale mod sheaves. Using inversion of adjunction, we prove that sufficiently small S…
Central motives on parahoric flag varieties
Robert Cass, Thibaud van den Hove, Jakob Scholbach
We construct a refinement of Gaitsgory's central functor for integral motivic sheaves, and show it preserves stratified Tate motives. Towards this end, we develop a reformulation o…
The geometric Satake equivalence for integral motives
Robert Cass, Thibaud van den Hove, Jakob Scholbach
We prove the geometric Satake equivalence for mixed Tate motives over the integral motivic cohomology spectrum. This refines previous versions of the geometric Satake equivalence f…
Constant term functors with -coefficients
Robert Cass, Cédric Pépin
We study the constant term functor for -sheaves on the affine Grassmannian in characteristic with respect to a Levi subgroup. Our main result is that the constant…
Central elements in affine mod Hecke algebras via perverse -sheaves
Robert Cass
Let be a split connected reductive group over a finite field of characteristic such that is absolutely almost simple. We give a geometric construction of…
Perverse -sheaves on the affine Grassmannian
Robert Cass
For a reductive group over an algebraically closed field of characteristic we construct the abelian category of perverse -sheaves on the affine Grassmannian t…