Perfectoid and prismatic methods
MATH-706 / 3 crédits
Enseignant: Patakfalvi Zsolt
Langue: Anglais
Remark: This is an algebraic geometry PhD course about perfectoid and prismatic methods.
Frequency
Only this year
Summary
Contents: mixed characteristic geometry, perfectoid rings, primsatic cohomology and their applications to Kodaira type vanishing theorems.
Content
The topic is mixed characteristic algebraic geometry, more precisely, studying perfectoid rings, prismatic cohomology and some of their applications. We will follow parts of Bhatt's lectures on "Prismatic F-Gauges" and "Aspects of p-adic hodge theory". Among one of the goals is to understand the proof of vanishing theorems in mixed characteristic in detail. Another is to understand precisely prismatic cohomology and perfectoid rings.
Learning Prerequisites
Required courses
MATH 510 - Algebraic geometry II - schemes and sheaves
Recommended courses
MATH 535 - Algebraic geometry III - selected topics
Resources
Bibliography
Bhatt's lectures on "Prismatic F-Gauges" and "Aspects of p-adic hodge theory"
Moodle Link
Dans les plans d'études
- Forme de l'examen: Mémoire (session libre)
- Matière examinée: Perfectoid and prismatic methods
- Cours: 28 Heure(s)
- Projet: 28 Heure(s)
- Type: optionnel
Semaine de référence
| Date | Heure | Salle | Cours |
|---|---|---|---|
| Lundi 07.09.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 14.09.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 28.09.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 05.10.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 12.10.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 26.10.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 02.11.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 09.11.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 16.11.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 23.11.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 30.11.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 07.12.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 | |
| Lundi 14.12.2026 | 10:15-12:00 | - | Room: MA B1 524 |
| 13:15-14:00 | - | Room: MA B1 524 |