2024/03/16 by Robert Cass, Cass, Robert, Thibaud van den Hove +3 · 1 citation
Arts and Humanities · #Algebraic Geometry (math.AG) #FOS: Mathematics #Linguistics and Cultural Studies #Linguistics and language evolution #Number Theory (math.NT) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2403.11007
openalex publication_date 2024/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.