4 papers
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…
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…
Categorical Künneth formulas for cohomological motives
Timo Richarz, Jakob Scholbach
The manuscript at hand systematically studies Künneth formulas at a categorical level. We give criteria for an abstract six functor formalism to satisfy the categorical Künneth f…