Fall 2024
Topic: p-adic Hodge theory and topological cyclic homology. We’ll meet in 2-361 by default.
| Date | Title | Speaker | Notes |
|---|---|---|---|
| Oct 1 | Introduction to prismatic cohomology | Atticus Wang | |
| Oct 11 | The de Rham comparison theorem | Sasha Petrov | |
| Oct 18 | The de Rham comparison theorem (continued) | Sasha Petrov | |
| Oct 22 | Linear algebra | Kenta Suzuki | |
| Nov 1 | de Rham cohomology via stacks, char 0 case | Kenta Suzuki | |
| Nov 12 | Ring groupoids | Atticus Wang | |
| Nov 15 | de Rham cohomology via stacks, p-adic case | Atticus Wang | |
| Nov 19 | Prismatization | Eunsu Hur | |
| TBD | Prismatization (continued) | Eunsu Hur | |
| TBD | Topological Hochschild homology | Atticus Wang |
References
A comprehensive list is compiled by Yuri Sulyma here.
General:
- Bhatt’s ICM address. Overview of main developments and applications without proofs.
- Bhatt, Columbia lectures. Develops the theory of prisms from scratch and proves the main comparison theorems.
- Kedlaya’s course notes. Largely drawn from the Columbia lectures but fills in a lot of prerequisites.
- Emerton’s course notes.
Stacky:
- Drinfeld, stacky approach to crystals, prismatization, and a related talk. The talk is very understandable.
- Bhatt–Lurie 1, 2
- Bhatt, prismatic F-gauges. Probably the most accessible out of all three.
Topology:
- BMS 1, 2
- Krause–Nikolaus, course notes on THH. Very accessible introduction and the lectures are on youtube.
- Nikolaus–Scholze, cyclotomic spectra.
- Hahn–Raksit–Wilson, even filtration
- …