## p-adic Hodge theory seminar

This seminar's topic is p-adic Hodge theory. More information can be found in the

syllabus. Below you will find information about where the seminar meets, a schedule of talks for the seminar and relevant reading for each talk.

#### Logistics

Location:

MCS B31

Dates:

Wednesday

10:00am-11:00am

#### Files

Participants in the seminar should

click here to find files relevant to the seminar. Any recommended reading will appear here. (For outsiders: google should almost surely find anything you aren't sure about.)

#### Schedule of talks

Date

Speaker

Topic(s)

Reading

Notes*

Sep 10

John

Introduction

n/a

Sep 17

Shaunak

Finite flat group schemes

Tate's "p-divisible groups" §1;

Tate's FLT volume article, especially (2.7) & (3.6)-(3.8);

Brinon & Conrad, p.92-93;

Jesse Kass' notes on Dieudonne modules

Sep 24

Joe

p-divisible groups I

Tate's article §2.1, 2.4 and 4.2

Oct 1

Aditya

Formal groups and connected p-divisible groups

Tate §2.2 and

Corresponding section of Liponowski's notes

Oct 8

Ben

p-divisible groups II

Tate §2.4, 4.1

Oct 15

John

p-divisible groups III

Tate §4.1, 3

Oct 22

Rob P.

Sen-Tate theory

Brinon-Conrad §2

Oct 29

Robert S.

Fontaine's formalism

Brinon-Conrad §5

Nov 5

David C.

B_{dR} I

Berger's "Introduction..." §II.2.1-II.2.2

Nov 19

John.

de Rham representations

Brinon-Conrad §6

Dec 3

Hudson

The crystalline period ring

Brinon-Conrad §9

Dec 10

Rob P.

Crystalline representations

Brinon-Conrad §9.1 & 9.3

* The notes here are a combination of live-TeX'd notes and speaker edits. The reader should beware: they may or may not contain errors.

#### Extra talks

My hope is that sometime after the final day of class we will have a short mini-workshop explaining some of the successes and future directions of p-adic Hodge theory. Stay tuned for more details!