SoSe 26 Oberseminar: Motivic cohomology of schemes
Time and place: Tuesday 14-16 in M311 and online
The goal of this seminar is to understand the motivic filtration of the A¹-invariant algebraic K-theory of arbitrary schemes and the resulting theory of A¹-invariant motivic cohomology, recently developed in this generality by Bachmann, Elmanto, and Morrow. The construction uses many aspects of the formalism of motivic spectra, including the slice filtration, the six-functor formalism, and framed correspondences, which we will review. We will then discuss the comparison with cycle-theoretic constructions in special cases (for smooth schemes over Dedekind rings) and with syntomic cohomology (the Beilinson–Lichtenbaum conjecture), and compute motivic cohomology in low weights.
The main reference is:
- Tom Bachmann, Elden Elmanto, Mathew Morrow, A¹-invariant motivic cohomology of schemes
If you are interested in participating in this seminar, please contact Marc Hoyois or Marco Volpe.
| Date | Speaker | Topic |
|---|---|---|
| 14.04 | Marc Hoyois | Introduction |
| 21.04 | ||
| 28.04 | ||
| 05.05 | ||
| 12.05 | ||
| 19.05 | ||
| 26.05 | ||
| 02.06 | ||
| 09.06 | ||
| 16.06 | ||
| 23.06 | ||
| 30.06 | ||
| 07.07 | ||
| 14.07 |