Singularities, differential equations, transcendence
Singularités, équations différentielles, transcendance

27 January – 28 February, 2025


Scientific & Organizing Committee
Comité scientifique & d’organisation

André Belotto Da Silva (Université Paris Cité)
Alin Bostan (INRIA Saclay)
Thomas Dreyfus (CNRS, Université de Bourgogne)
Lorenzo Fantini (École Polytechnique)
Charles Favre (CNRS, École polytechnique)
Charlotte Hardouin (Institut de mathématiques de Toulouse)
Mickael Matusinski (Université de Bordeaux)
Anne Pichon  (Aix-Marseille Université)
Marina Poulet (Aix-Marseille Université)
Tanguy Rivoal (CNRS, Université Grenoble Alpes)
Guillaume Rond (Aix-Marseille Université)
Tamara Servi (Université Paris-cité)

This Thematic Month aims to cover topics related to singularity theory of algebraic or analytic spaces, algebraic study of differential equations, and their applications to questions of transcendence.
This 5-week program covers different themes that are often not closely related. One of the main objectives is to make them interact. To encourage participants (especially the youngest ones) to attend the entire month and foster interactions outside each one’s expertise zone, the scientific program of each week of the month will consist of courses accessible to non-experts, as well as more specialized presentations.
This month will consist of five successive weeks:
Logarithmic and non-archimedean methods in Singularity Theory. The first week will focus on recent results based on methods in logarithmic geometry and non-archimedean geometry in singularity theory.
Foliations, birational geometry and applications. The second week will cover topics in birational geometry, including singularity resolution, MMP (Minimal Model Program), algebraic foliation theory, and local holomorphic dynamics.
Tame Geometry. The third week will address tame geometry in various forms: o-minimality, transseries, Hardy fields, non-archimedean analogs of tame geometry, and their applications to number theory.
Galois differential Theories and transcendence. The fourth week is devoted to differential Galois theory and its applications to questions of functional transcendence and number theory, as well as the study of periods and E and G-functions.
Enumerative combinatorics and effective aspects of differential equations. The last week is dedicated to enumerative combinatorics and certain effective aspects of differential equations, especially applications in enumerative combinatorics of techniques presented in the previous week, or as effective results on topics covered in the preceding weeks.

IMPORTANT WARNING:  Scam / Phishing / SMiShing ! Note that ill-intentioned people may be trying to contact some of participants by email or phone to get money and personal details, by pretending to be part of the staff of our conference center (CIRM).  CIRM and the organizers will NEVER contact you by phone on this issue and will NEVER ask you to pay for accommodation/ board / possible registration fee in advance. Any due payment will be taken onsite at CIRM during your stay.

Logarithmic and non-archimedean methods in singularity theory
Méthodes logarithmiques et non-archimédiennes en théorie des singularités

27 – 31 January, 2025

Foliations, birational geometry and applications
Feuilletages, géométrie birationnelle et applications

3 – 7 February, 2025

Tame geometry
Géométrie modérée

10 – 14 February, 2025

Galois differential theories and transcendence
Théories de Galois différentielles et transcendance

17 – 21 February, 2025

Enumerative combinatorics and effective aspects of differential equations
Combinatoire énumérative et aspects effectifs des équations différentielles

24 – 28 February, 2025