Séminaires : Séminaire Géométrie et Topologie

Ce séminaire s’adresse aux géomètres, topologues et dynamiciens au sens large. Il est rattaché aux équipes Analyse Algébrique et Analyse Complexe et Géométrie. Les exposés seront accessibles à une audience large, doctorants inclus. Il se tiendra à Jussieu, le jeudi à 11h, en salle 15-25 502. Le séminaire a l'agenda google suivante: https://calendar.google.com/calendar/b/0?cid=dDgzNTJoczNmdDhlMm5nb2IzMXJwaWpsdHNAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbQ

The free $\Z$-module generated by the nontrivial free homotopy classes of loops on an oriented surface carries a Lie-bialgebra structure, introduced by Goldman and Turaev in the 80s. One way to obtain from a closed loop a dynamical system on the surface is by "stirring" along that loop. In my talk, I will discuss some consequences of Turaev's cobracket construction on the forced dynamics such as bounds on the growth of periodic orbits and topological entropy within the forcing theory of Le Calvez-Tal. This is motivated by some questions on the robustness of the dynamics of the Hamiltonian eggbeaters of Polterovich-Shelukhin. Based on joint work with A. Chor.