SoSe 25 Oberseminar: The Bloch–Kato conjecture
Time and place: Tuesday 14:15-15:45 in M311 and online
The goal of this seminar is to discuss two aspects of Voevodsky’s chromatic approach to the Bloch–Kato conjecture, which together with last semester's seminar complete the proof of the conjecture. Specifically, we will:
- Prove the Hopkins–Morel isomorphism relating algebraic cobordism and motivic cohomology.
- Construct Rost motives, which are higher chromatic analogues of motives of finite field extensions.
The main ingredient for both results is the determination of the motivic Steenrod algebra, which is the algebra of bistable operations in motivic cohomology with coefficients in Z/l.
If you are interested in participating in this seminar, please contact Marc Hoyois or Niklas Kipp.
| Date | Speaker | Topic |
|---|---|---|
| 29.04 | Marc Hoyois | Power operations in motivic cohomology |
| 06.05 | The motivic Steenrod algebra | |
| 13.05 | The Milnor operations | |
| 20.05 | Symmetric powers of Tate motives | |
| 27.05 | Motives of Eilenberg–Mac Lane spaces | |
| 03.06 | The motivic cohomology of quotients of MGL | |
| 10.06 | — | — |
| 17.06 | The Hopkins–Morel isomorphism | |
| 24.06 | The motivic degree theorem | |
| 01.07 | A uniqueness theorem for motivic Steenrod operations | |
| 08.07 | Cohomology operations from symmetric powers | |
| 15.07 | Generalized Rost motives | |
| 22.07 | The Bloch–Kato conjecture |