CONFERENCE

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

3 – 7 February, 2025

Scientific Committee
Comité scientifique

Carolina Araujo (IMPA)
Paolo Cascini (Imperial College)
Charles Favre (Ecole Polytechnique)
Franck Loray (Université de Rennes)
Tamara Servi (Université Paris-Cité)

Organizing Committee
Comité d’organisation

Carolina Araujo (IMPA)
André Belotto da Silva (Université Paris-Cité)
Anne Pichon (Aix-Marseille Université)
Matteo Ruggiero (Université Paris-Cité)

In the past ten years, there has been a flourishing of new techniques and methods in between foliation theory, birational geometry and local dynamics. This includes the theory of MMP for foliations, which provides a new way to study local and global classical problems in foliation theory. Moreover, the development of methods of resolution of singularities of varieties via weighted blowings-up, some of which inspired by resolution of singularities of vector-fields, are important new tools in birational geometry. It is natural to explore how these methods would impact the study of resolution of singularities of foliations, a problem which is widely open in dimensions higher than 3. Finally, the duality between (formal) vector-fields and local dynamics provides a natural framework to explore complex dynamical systems. The Conference will explore these three inter-connected topics. We will bring together specialists of these three areas of expertise, in order to foster new collaborations and exchanges.

SPEAKERS

Henri Guenancia (CNRS, Université Paul Sabatier)  On the geometry of log Calabi-Yau manifolds
Olivier Le Gal (Université Savoie Mont Blanc)  Trajectories associated with formal invariant curves
María Martín Vega (University of Valladolid)   Surfaces with central configuration for vector fields with Hopf-zero singularity
Brent Pym (McGill University)    Semiclassical Hodge theory

Sebastian Velazquez (King’s College London)  The extension problem for codimension 1 foliations

SPONSORS