Richarz, Timo ; Scholbach, Jakob (2024)
Tate motives on Witt vector affine flag varieties.
In: Selecta Mathematica, 2021, 27 (3)
doi: 10.26083/tuprints-00023428
Article, Secondary publication, Publisher's Version
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| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | Tate motives on Witt vector affine flag varieties |
| Language: | English |
| Date: | 3 September 2024 |
| Place of Publication: | Darmstadt |
| Year of primary publication: | 2021 |
| Place of primary publication: | Basel |
| Publisher: | Springer International Publishing |
| Journal or Publication Title: | Selecta Mathematica |
| Volume of the journal: | 27 |
| Issue Number: | 3 |
| Collation: | 34 Seiten |
| DOI: | 10.26083/tuprints-00023428 |
| Corresponding Links: | |
| Origin: | Secondary publication DeepGreen |
| Abstract: | Relying on recent advances in the theory of motives we develop a general formalism for derived categories of motives with Q-coefficients on perfect ∞-prestacks. We construct Grothendieck’s six functors for motives over perfect (ind-)schemes perfectly of finite presentation. Following ideas of Soergel–Wendt, this is used to study basic properties of stratified Tate motives on Witt vector partial affine flag varieties. As an application we give a motivic refinement of Zhu’s geometric Satake equivalence for Witt vector affine Grassmannians in this set-up. |
| Uncontrolled Keywords: | Motives, Perfect schemes, Witt vector affine flag variety, Satake equivalence |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-234283 |
| Additional Information: | Mathematics Subject Classification 14F42 · 14M15 · 20G05 |
| Classification DDC: | 500 Science and mathematics > 510 Mathematics |
| Divisions: | 04 Department of Mathematics > Algebra |
| Date Deposited: | 03 Sep 2024 13:47 |
| Last Modified: | 03 Sep 2024 13:47 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23428 |
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