Central motives on parahoric flag varieties
Algebraic Geometry
2025-12-09 v2 Number Theory
Representation Theory
Abstract
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 of unipotent motivic nearby cycles, which also works over higher-dimensional bases. We moreover introduce Wakimoto motives and use them to show that our motivic central functor is t-exact. A decategorification of these functors yields a new approach to generic Hecke algebras for general parahorics.
Keywords
Cite
@article{arxiv.2403.11007,
title = {Central motives on parahoric flag varieties},
author = {Robert Cass and Thibaud van den Hove and Jakob Scholbach},
journal= {arXiv preprint arXiv:2403.11007},
year = {2025}
}
Comments
Final version, to appear in Journal of the European Mathematical Society