Scientific Committee
Comité scientifique
Kenneth Bromberg (University of Utah)
Françoise Dal’Bo (Université de Rennes)
Olivier Guichard (Université de Strasbourg)
Nicolas Tholozan (CNRS, Ecole Normale Supérieure de Paris)
Jérémy Toulisse (Université de Côte d’Azur)
Organizing Committee
Comité d’organisation
Kenneth Bromberg (University of Utah)
Françoise Dal’Bo (Université de Rennes)
Anne Parreau (Université de Grenoble Alpes)
Nicolas Tholozan (CNRS, Ecole Normale Supérieure de Paris)
Jérémy Toulisse (Université de Côte d’Azur)
During the past decades, Teichmüller–Thurston theory and its connections to geometrization of 3-manifolds have been used as a model to understand discrete subgroups of higher rank Lie groups and their associated locally homogeneous manifolds. This lead to spectacular developments in which the notion of Anosov group (a subtle higher rank generalization of convex-cocompactness) plays a central role.
This school, aimed primarily at PhD students and young postdocs, will present the fundamental results on which these recent developments build, including both geometric, dynamical and analytic aspects of discrete subgroups of Lie groups.
Durant les dernières décennies, la théorie de Teichmüller–Thurston et ses connexions avec la géométrisation des variétés de dimension 3 ont servi de modèle à l’étude des sous-groupes discrets de groupes de Lie de rang supérieur et des variétés localement homogènes associées. Cela a conduit à des développements spectaculaires dans lesquels la notion de groupe Anosov (une généralisation subtile de la convexe-cocompacité en rang supérieur) joue un rôle central. Cette école, destinée principalement aux doctorant·es et jeunes post-doctorant·es, présentera les résultats fondamentaux qui sous-tendent ces développements récents, en incluant à la fois les aspects géométriques, dynamiques et analytiques des sous groupes discrets des groupes de Lie.
MINI-COURSES
Michel Boileau ( Aix-Marseille Université) Hyperbolic 3-manifolds
Federica Fanoni (CNRS, Université Paris-Est Créteil) Teichmüller theory
Fanny Kassel (CNRS, Institut des Hautes Etudes Scientifiques) Discrete subgroups of Lie groups
Qiongling Li (Chern Mathematics Institute, Nankai University) Harmonic maps and minimal surfaces into symmetric spaces
Barbara Schapira (Université de Rennes) Ergodic theory of the geodesic flow of hyperbolic surfaces
SHORT TALKS
Sofia Amantova (University of Geneva) Integrality of invariants for complex hyperbolic lattices
Fernando Camacho Cadena (MPI MiS) Hamiltonian flows and self-intersecting curves
Alejandro Garcia Sanchez (Autonomous University of Barcelona) Projective deformations of hyperbolic 3-orbifolds with turnover ends
Malek Hanounah (University of Greifswald) On completeness of certain compact locally symmetric structures of higher signature
Mason Hart (University of Virginia) Topology of domains of discontinuity for complex Anosov representations
Laura Lankers (MPI MiS) Higher Teichmüller spaces: a Positive Perspective
Joachin Lejtreger (Sorbonne Université) Hausdorff Dimension of Geodesics with Bounded Self-Intersection Angle
Marcos Martinez (University of the Republic) The Asymptotic Plateau Problem for The Hyperbolic Space
Juan Piriz Lorenzo (University of the Republic) Trying to understand linear rank of certain groups
Daniel Pizarro (Pontifical Catholic University of Valparaíso) Dimension of limit set in variable negative curvature
Inyoung Ryu (Texas A&M University) Characterization of topological components of spaces of type-preserving representations
William Sarem (Université Grenoble Alpes) Holomorphic properties of geometrically finite ball quotients: towards a higher rank generalization ?
Amadou Sy (University Cheikh Anta Diop of Dakar) On the closure of irregular orbits of the horocyclic flow of infinite finess
Enrico Trebeschi (University of Pavia) Quasi-spheres in Anti-de Sitter space
Junming Zhang (Chern Institute of Mathematics, Nankai University) Anosov Property of cyclic SO(2,3)-Higgs bundles
SPONSORS
