On totipotent and highly transitive actions of free groups
16:00 – 17:30
We will study actions of free groups on countable sets which are highly transitive (that is k-transitive for every k) and totipotent (that is the conjugacy class of the stabilizer is dense in the space of infinite index subgroups). We will construct such an action and discuss obstruction for the existence of these actions for other groups. At the end, we will briefly discuss the analogous objects in the context of p.m.p. actions.
Joint work with Damien Gaboriau and François Le Maître.