Number Theory

Analytic and algebraic number theory. Local and global fields and their Galois groups. Zeta and L-funtions. Diophantine equations. Arithmetic on algebraic varieties. Diophantine approximation, transcendental number theory and geometry of numbers. Modular and automorphic forms, modular curves and Shimura varieties. Langlands program. p-adic analysis. Number theory and physis. Computational number theory and applications, notably to crytography.

Main speakers:

1. Pedro Berrizbeitia (Univ. Simón Bolívar, Venezuela)

2. Javier Cilleruelo (Univ. Autónoma de Madrid, España)

3. Eduardo Friedman (Univ. de Chile, Chile)

4. Carlos Gustavo Moreira (IMPA, Brazil)

5. Ariel Pacetti (Univ. de Buenos Aires, Argentina)

6. Nigel Pitt (Univ. de Brasilia, Brazil)

7. Fernando Rodriguez Villegas (Univ. Texas, USA)*

8. Rubí Rodriguez (P.Univ. Católica, Chile)

9. Gonzalo Tornaría (Univ. de la República, Montevideo, Uruguay)

10. Gabriel Villa Salvador (CINVESTAV, México)

* To be confirmed.