Geometry and Dynamics on surfaces
Géométrie et Dynamiques sur les surfaces
3 June – 2nd August, 2024
Chair > Masseye Gaye
Cheikh Anta Diop University of Dakar, Senegal
Masseye Gaye is a Professor in Mathematics at Cheikh Anta Diop University in Dakar. He has been wroking in Dakar since 2008. Previously, he was a student in Dakar and then in Paris 6 (today Sorbonne Université) where he got a PhD under the supervision of Elisha Falbel. He is a specialist of complex hyperbolic geometry and the geometry and dynamics of surfaces.
Co-Chair: Jean-François Quint
Université de Montpellier
Jean-françois Quint is a CNRS-Directeur de recherche, currently working at the University of Montpellier, after having hold positions in Lyon, Paris and Bordeaux. He was a student in ENS Lyon and then in Paris 7 (today Paris Cité) where he got a PhD under the supervision of Yves Benoist. He is a specialist of Lie groups and random walks.
RESEARCH SCHOOL
An introduction to dynamics on surfaces and random walks
Introduction à la dynamique sur les surfaces et aux marches aléatoires
22 – 26 July, 2024
This research school in Geometry and Dynamics on surfaces, revolves around two classic and very current themes which are : – the topological and ergodic dynamics of geodesic and horocylic flows ; – random walks on groups. Indeed, starting from the work of Eskin-Mirzakhani on orbit closures of the upper triangular subgroup of SL(2,R) on strata of Abelian differentials ten years ago, recent years have witnessed some interplay between the dynamical theory of surfaces and the one of random walks on groups. One of the objectives of the research school is to give young researchers the opportunity to learn about both topics, in view for them to be able to deal with emerging questions.
COURSES
Richard Aoun (Université Gustave Eiffel) and Guillaume Chevalier (Institut mathématiques de Bordeaux) Random walks on groups
Cheikh Lo (UCAD), Or Landesberg (University of Yale), El Hadji Abdou Aziz Diop (UCAD) and Abdoul Karim Sané (UCAD) Topology and ergodicity of horocyclic flow on geometrically infinite hyperbolic surface
Ferrán Valdez (UNAM) and Adjaratou Arame Diaw (UCAD) Translation surfaces and dynamics on moduli spaces
Khadim. M. War (IMPA) and Nguyen-Thi Dang (Université Paris-Saclay) Geodesic flow on surfaces without conjugate points
WORKSHOP
Geometry, dynamics and randomness
Géométrie, dynamique et aléa
29 July – 2nd August, 2024
Topics of this workshop will cover the ones of the research school « An introduction to dynamics on surfaces and random walks » of the previous week, that are, dynamics on surfaces and random walks on groups. We will also discuss other mathematical subjects whose study is well-developed in Africa, such as Riemannian and sub-Riemannian geometry, Lie groups and tropical geometry. Talks will include a few mini-projects, which are presentations of their subjects by PhD students.