3 papers
math.RT2026
The integral motivic Satake equivalence for ramified groups
Thibaud van den Hove
We construct the geometric Satake equivalence for quasi-split reductive groups over nonarchimedean local fields, using étale Artin-Tate motives with -coef…
math.AG2025
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…
math.AG2025
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…