Tate motives on Witt vector affine flag varieties
arXiv:2003.02593 · doi:10.1007/s00029-021-00665-y
Abstract
Relying on recent advances in the theory of motives we develope a general formalism for derived categories of motives with Q-coefficients on perfect (ind-)schemes. As an application we give a motivic refinement of Zhu's geometric Satake equivalence for Witt vector affine Grassmannians in this set-up.
minor changes, final published version
References in corpus (7)
- Higher Topos Theory
- Cycles on Shimura varieties via geometric Satake
- Perfection in motivic homotopy theory
- The intersection motive of the moduli stack of shtukas
- The motivic Satake equivalence
- Geometric Satake, categorical traces, and arithmetic of Shimura varieties
- Perverse sheaves on infinite-dimensional stacks, and affine Springer theory