Introduction to p-adic Hodge theory
Student No.:40
Time:Tue & Thu 13:30-15:05, Aug.7-Sep.6
Instructor:王浩然 Wang Haoran  
Place:Conference Room 2, Jin Chun Yuan West Bldg.
Starting Date:2018-8-7
Ending Date:2018-9-6

This is an introductory course on p-adic Hodge theory. The p-adic Hodge theory provides a way to classify and study p-adic Galois representations of p-adic fields. We will talk about the basics of p-divisible groups, Fontaine’s various period rings, de Rham , crystalline, semistable representations and comparison theorems.

Prerequisite: One semester course on algebraic number theory.

[1] Berger, An introduction to the theory of p-adic representations, Geometric aspects of Dwork theory, I, ;
[2] Brinon and Conrad, CMI summer school notes on p-adic Hodge theory, ;
[3] Colmez, Périodes et représentations galoisiennes, ;
[4] Fontaine and Ouyang, Theory of p-adic Galois Representations,