# 189-666A. Séminaire Iovita

## p-adic integration and p-adic Hodge theory

**Organisers:** Adrian Iovita and Henri Darmon

**Time: ** Tuesdays, 4:00-6:00.

**Room: ** BH 1205.

Note that our first meeting will be on October 2.

**Regular Participants:**

Francesca Bergamaschi

Miljan Brakocevic

Luca Candelori

Francesc Castella

Chih Yun Chuang

Yara Elias

Andrew Fiori

Michele Fornea

Gérard Freixas

Shan Gao

Clément Gomez

Bruno Joyal

Antonio Lei

Juan Ignacio Restrepo

Francois Seguin

Nicolas Simard

Maxime Turgeon

Bahare Mirza Hossein

Giulio Orecchia

Luiz Takei

The theme of this year's seminar is p-adic integration and
p-adic Hodge theory.

Here are a few rules of the seminar:

1. Each week will be devoted to lectures by one participant.

2. This is a working seminar, aimed at people with varying backgrounds.
It is important that lectures be accessible to all participants.

3. Speakers should allow, in fact, welcome, questions,
interruptions, and constructive comments from the audience.

4. Participants are encouraged in return
to ask questions during the presentations, at
any time, and to put in their two cents' worth.

Here is the tentative schedule:

**Tuesday, October 2, 11:30-1:30. **

**Bruno Joyal**.
Ramification in the algebraic
closure of Q_{p} and its differential structure.

**Tuesday, October 9, 11:30-1:30. **

**Clément Gomez**.
Hodge-Tate theory of **C**_{p}(i).

**Tuesday, October 16 and 23, 4:00-6:00. **

**Clément Gomez** and **Adrian Iovita**.
Hodge-Tate theory of **C**_{p}(i), cont'd.

**Tuesday, October 30, 4:00-6:00. **

**Francesca Bergamaschi**.
Abelian
varieties and p-divisible groups.

**Tuesday, November 6, 4:00-6:00. **

**Bahare Mirza**.
Hodge-Tate theory of p-divisible groups.

**Tuesday, November 13. **

**Luca Candelori**.
Hodge-Tate theory of abelian varieties.

**Tuesday, November 20. **

**Gérard Freixas**.
The universal vectorial extension of an abelian variety and its
application to H^{i}_{dR}(A).

**Tuesday, November 27. **

**Miljan Brakocevic**.
B_{dR} and de Rham Galois representations.

**Tuesday, December 4. **

**Gérard Freixas**.
The de Rham comparison isomorphism. (Following Fontaine-Messing).

**Tuesday, December 11. **

**Francesc Castella**.
Integration of de Rham cohomology classes along elements of the Tate module,
and comparison isomorphisms. (Following Colmez).

**Tuesday, December 18. **

**TBA**.
Subject to be determined. Possibilities include the Cristalline comparison
isomorphisms or p-adic iterated integrals.