Central motives on parahoric flag varieties
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911304761999360 |
|---|---|
| author | Cass, Robert Hove, Thibaud van den Scholbach, Jakob |
| author_facet | Cass, Robert Hove, Thibaud van den Scholbach, Jakob |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Central motives on parahoric flag varieties Cass, Robert Hove, Thibaud van den Scholbach, Jakob Algebraic Geometry Number Theory Representation Theory 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. |
| title | Central motives on parahoric flag varieties |
| topic | Algebraic Geometry Number Theory Representation Theory |
| url | https://arxiv.org/abs/2403.11007 |