ACTIVITIES ORGANISED

In due time, every activity will have its own web page with information regarding list of speakers, registration, programme, etc.

2009

October

From 19 to 24

Advanced Course on Shimura Varieties and L-functions

• Arithmetic of Shimura curves and the Birch and Swinnerton-Dyer Conjecture, by Shou-Wu Zhang (Columbia University)
• A conjecture of André and Oort, by Bas Edixhoven (Universiteit Leiden) and Andrei Yafaev (University College London)

November / December

From November 30 to December 4

Series of lectures:

The Birch-Swinnerton-Dyer and Parity Conjectures for elliptic curves

by Tim Dokchitser (University of Cambridge)

Date and time: everyday at 4 pm from Monday, November 30 to Friday, December 4, 2009.

The purpose of this series of lectures is to give a self-contained introduction to the various Parity Conjectures for elliptic curves over number fields and the proofs of the ones that are known to be true. The structure of the course is roughly as follows:

1. Review of the Birch-Swinnerton-Dyer and the Parity Conjectures for elliptic curves over number fields; rank growth predictions forced by the root numbers.

2. Root numbers of elliptic curves, their classification and related recent results.

3. Local formulae for Selmer ranks.

4. Proof of the Parity Conjecture for Selmer ranks of elliptic curves over Q and over totally real fields; other results.

 Everybody is welcome: no registration for participation is needed. The lectures will take place at the Centre de Recerca Matemàtica. For more information about the schedule, contact with the organizers.

From 9 to 12

Advanced Course on Algebraic Cycles, Modular Forms, and Rational Points on Elliptic Curves, by Henri Darmon (McGill University) and Kartik Prasanna (University of Maryland at College Park)
 

From 14 to 18

Workshop on Cycles and special values of L-series

2010

February /

March

February 22 to March 5

Advanced Course on Arithmetic Geometry for Function Fields of Positive Characteristic

• Curves and Jacobians over function fields.
• On main conjectures in geometric Iwasawa theory and related conjectures.
• Arithmetic of gamma, zeta, multizeta values in function fields.
• A cohomology for function fields arithmetic, and applications. 

From March 29 to 31

Thematic Seminars on Function Field Arithmetic I(NEW!)

• Hodge-Pink structures
• Rational points on elliptic curves and the Langlands program in positive characteristic

April

From 6 to 10

Workshop on Iwasawa theory over function fields of characteristic p>0

From 12 to 16

Workshop and Advanced Course on Drinfeld Modules and L-functions

• Advanced Course: Zeta phenomenology
• Workshop: Drinfeld modules and L-functions

From April 19 to 20

Thematic Seminars on Function Field Arithmetic II (NEW!)

• On the geometric Iwasawa main conjecture

June

From 14 to 25

 Advanced Courses on Modularity

• Serre's conjectures and generalizations
• p-adic Galois representations and global Galois deformations
• Modularity Lifting Theorems and Potential Modularity

July

From 5 to 9

Modular Conference:  Arithmetic of Modular Forms and Modularity Results