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.
MINI-COURSES
Lorena Lopez Hernanz (Université de la Alcala) : Vector-fields and local dynamics
Calum Spicer (King’s College London) : MMP for foliations
SPEAKERS
Helena Reis (University of Porto)
Roberto Svaldi (University of Milan)
Michael Temkin (The Hebrew University of Jerusalem)
Liz Vivas (The Ohio State University)