Vous êtes ici :
Recherche en Groupe : Deroin, Rivas et Navas
Rencontre coordonnée par Bertrand Deroin du laboratoire AGM avec la participation de Andres Navas (Univ. Santiago de Chile) et Cristobal Rivas (Univ. Santiago de Chile).
Séjour du 3 au 17 septembre 2025.
The goal of the project is to complete the book "Groups, Geometry, and Dynamics," a first version of which we have released as a preprint on the arXiv in collaboration with Andrés Navas and Cristobal Rivas. It is an overview of recent advances in the theory of orderable groups, made possible by the use of techniques from topology, geometry and dynamical systems. Since then, a number of important conjectures on the subject have been solved, and we wish to complete the book by explaining their proofs, at least in special cases. In particular, the constructions of left orderable counterexamples to the Von Neumann conjecture, as well as the non orderability of lattices of rank higher than two. We also wish to revise the whole book so that we can submit it for publication to the American Mathematical Society, who have shown interest in publishing it.
Séjour du 3 au 17 septembre 2025.
The goal of the project is to complete the book "Groups, Geometry, and Dynamics," a first version of which we have released as a preprint on the arXiv in collaboration with Andrés Navas and Cristobal Rivas. It is an overview of recent advances in the theory of orderable groups, made possible by the use of techniques from topology, geometry and dynamical systems. Since then, a number of important conjectures on the subject have been solved, and we wish to complete the book by explaining their proofs, at least in special cases. In particular, the constructions of left orderable counterexamples to the Von Neumann conjecture, as well as the non orderability of lattices of rank higher than two. We also wish to revise the whole book so that we can submit it for publication to the American Mathematical Society, who have shown interest in publishing it.