This conference will present and discuss the most recent progress and the future possible research directions emerging from the relations between algebraic geometry and number theory through various contemporary research fields:

Affine geometry, Arithmetic geometry, L-functions, Zeta functions, Singularity theory.

The rich corpus of important works of Professor Pierrette Cassou-Noguès contributes significantly to the interactions among all these research topics. The meeting is dedicated to her for her first 60 years.

PROGRAMME:

The conference consists of 24 talks of one hour each handed out as follows:

• Affine geometry, two days, 10 talks
• Number theory, Wenesday, 4 talks
• Singularities, two days, 10 talks

The list of speakers:

• Sheeram ABHYANKAR (Purdue),
• Pierre COLMEZ (Paris),
• Félix DELGADO DE LA MATA (Valladolid),
• Jan DENEF (Leuven),
• Alexandru DIMCA (Nice),
• Benedict GROSS (Harvard),
• Shulim KALIMAN (Miami),
• Anatoly LIBGOBER (Chicago),
• Ignacio LUENGO (Madrid),
• Leonid MAKAR-LIMANOV (Detroit),
• Masayoshi MIYANISHI (Osaka),
• Andrés NEMETHI (Budapest),
• Walter NEUMANN (New York),
• Matsuo OKA (Tokyo),
• Stepan OREVKOV (Toulouse),
• Arkadiusz PLOSKI (Kielce),
• Patrick POPESCU PAMPU (Paris),
• Peter RUSSELL (Sherbrooke),
• Avinash SATHAYE (Lexington),
• JACQUES TILOUINE (Paris),
• Arno VAN DEN ESSEN (Nijmegen),
• Wim VEYS (Leuven),
• Terry WALL (Liverpool),
• Mikhail ZAIDENBERG (Grenoble).

SPONSORS:

• Universidad Complutense de Madrid,
• Institut de Mathématiques de Luminy
• Centre National de la Recherche Scientifique
• Institut de Mathématiques de Bordeaux
• Ingenio MATHEMATICA (i-MATH), a CONSOLIDER research project of the Spanish Ministry of Education and Science.
• Node CIEM of i-MATH