A topological dynamical system (i.e. a group acting by homeomorphisms on a compact metric space) is said to be proximal if for any two points p and q we can simultaneously « squish them together ». A group is strongly amenable if every proximal dynamical system has a fixed point. In this talk I will give an introduction to proximal actions, strong amenability and discuss connections with other group theoretic properties. No prior knowledge of topological dynamics or amenability will be assumed.
En salle W au DMA, ou sur Zoom (réunion 997 7829 7310, mot de passe abc123).