Math 519 Fall 2024 — Introduction to p-adic Hodge theory

Office hours: Tuesday 1-2 pm and Wednesday 1-3 pm in ENR2 S326, or by appointment.

My lecture notes are available here. (updated on Nov 14, 2024)

You can also find a list of exercises here. (updated on Oct 25, 2024)

Useful references:

• Brinon-Conrad, CMI summer school notes on p-adic Hodge theory.
• Demazure, Lecture notes on p-divisible groups.
• Fargues-Fontaine, Vector bundles on curves and p-adic Hodge theory.
• Fontaine-Ouyang, Theory of p-adic Galois Representations
• Kedlaya, Sheaves, stacks, and shtukas
• Pink, Finite group schemes
• Stix, A course on finite flat group schemes and p-divisible groups
• Tate, Finite Flat Group Schemes.
• Tate, p-divisible groups.