## Conference "Arithmetic, Geometry and Coding Theory"## March 14 - 18, 2011## CIRM, Marseille, France |

**Organisers:** Yves Aubry *(Université de la Méditerranée, IML)*, Christophe Ritzenthaler *(Université de la Méditerranée, IML)*, Alexey Zykin *(Mathematical Department of HSE, Laboratoire Poncelet, IITP)*

Monday 14 March | |

09:00-10:00 | Everett Howe |

New results on curves of genus 4 | |

10:00-10:30 | Karl Rökaeus |

Computer aided search for curves with many points | |

10:30-11:00 | Coffee break |

11:00-11:30 | Masaaki Homma |

Rational curves with many rational points over a finite field | |

11:30-12:00 | Safia Haloui |

The characteristic polynomials of abelian varieties of dimensions 3 and 4 over finite fields | |

12:30 | Lunch |

16:00-17:00 | Régis Blache |

Different aspects of Artin-Schreier curves and coverings | |

17:00-17:30 | Bruno Anglès |

Zeta values for F_q[T] | |

17:30-18:00 | Coffee break |

18:00-18:30 | Sudhir Ghorpade |

Primitive Recursive Vector Sequences | |

18:30-19:00 | Alina Ostafe |

Algebraic Properties of Polynomial Iterations |

Tuesday 15 March | |

09:00-10:00 | Marc Hindry |

Brauer-Siegel theorems for abelian varieties over global fields | |

10:00-10:30 | Cécilia Salgado |

Zariski density of rational points on del Pezzo surfaces of low degree | |

10:30-11:00 | Coffee break |

11:00-11:30 | Ivan Boyer |

Factorization of polynomials over finite fields in deterministic time | |

11:30-12:00 | Nils Bruin |

Explicit descent setups | |

12:30 | Lunch |

16:00-17:00 | Bianca Viray |

Bounding the denominators of Igusa class polynomials using arithmetic intersection theory | |

17:00-17:30 | David Kohel |

A normal form for elliptic curves in characteristic 2 | |

17:30-18:00 | Coffee break |

18:00-18:30 | Ben Smith |

Naive algebraic computation of low-degree isogenies in genus 2 | |

18:30-19:00 | Aristides Kontogeorgis |

Weierstrass semigroups and Galois module structure of spaces of holomorphic differentials of curves |

Wednesday 16 March | |

09:00-10:00 | Henning Stichtenoth |

On the number of rational points on algebraic curves over finite fields | |

10:00-10:30 | Stéphane Ballet |

Asymptotics for the class number of certain families of algebraic function fields defined over any finite field | |

10:30-11:00 | Coffee break |

11:00-11:30 | Kit-Ho Mak |

Two families of maximal curves which are not Galois subcovers of the Hermitian curve | |

11:30-12:00 | Ferruh Ozbudak |

Certain planar functions and number of rational points of some curves | |

12:30 | Lunch |

Thursday 17 March | |

09:00-10:00 | Jean-Pierre Serre |

What does the Sato-Tate conjecture mean? | |

10:00-10:30 | Gabor Wiese |

On modular Galois representations modulo prime powers | |

10:30-11:00 | Coffee break |

11:00-11:30 | Burcu Baran |

Computing a level-13 modular curve over Q via representation theory | |

11:30-12:00 | Kamal Khuri-Makdisi |

Using algebraic values of modular forms to obtain models for modular curves | |

12:30 | Lunch |

16:00-17:00 | Alain Couvreur |

Codes from rational surfaces | |

17:00-17:30 | Elodie Leducq |

Proofs of two conjectures on APN functions | |

17:30-18:00 | Coffee break |

18:00-18:30 | Gregor Leander |

A new construction of bent functions based on Z-bent functions | |

18:30-19:00 | Petr Lisonek |

Hyperbent functions and hyperelliptic curves |

Friday 18 March | |

09:00-10:00 | Arnaldo Garcia |

On explicit towers over finite fields | |

10:00-10:30 | Vijaykumar Singh |

On Characteristic polynomial of supersingular abelian varieties over finite fields | |

10:30-11:00 | Coffee break |

11:00-11:30 | François Rodier |

Highly resistant Bollean functions for cryptography | |

11:30-12:00 | Philippe Langevin |

A note on Helleseth's conjecture | |

12:30 | Lunch |

14:00-14:30 | Frédéric Edoukou |

Codes on quadric and Hermitian varieties II | |

14:30-15:30 | Yuri Zarhin |

Ranks of abelian varieties in towers of function fields |