Ayoub, Joseph (2014). A guide to (étale) motivic sheaves. In: Jang, Sun Young. Proceedings of the International Congress of Mathematicians, Seoul 2014. Seoul: s.n., 1102-1124.
We recall the construction, following the method of Morel and Voevodsky, of the triangulated category of étale motivic sheaves over a base scheme. We go through the formalism of Grothendieck’s six operations for these categories. We mention the relative rigidity theorem. We discuss some of the tools developed by Voevodsky to analyze motives over a base field. Finally, we discuss some long-standing conjectures.
We recall the construction, following the method of Morel and Voevodsky, of the triangulated category of étale motivic sheaves over a base scheme. We go through the formalism of Grothendieck’s six operations for these categories. We mention the relative rigidity theorem. We discuss some of the tools developed by Voevodsky to analyze motives over a base field. Finally, we discuss some long-standing conjectures.
| Item Type: | Book Section, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2014 |
| Deposited On: | 14 Jan 2016 10:46 |
| Last Modified: | 04 Dec 2020 08:24 |
| Publisher: | s.n. |
| Number: | Vol. 2 |
| ISBN: | 978-98-6105-805-6 |
| OA Status: | Closed |
Ayoub, Joseph