18 May 2017, 3.00 PM – 18 May 2017, 4.00 PM
François Maucourant, Université Rennes I
4th floor seminar room, Howard House
We first describe an elementary dynamical system consisting of a continuous family of rotations. It is called asynchronous when two points picked at random rotate at different speeds, and is in some sense the analogue of being an irrational rotation in this setup. Such a system appears naturally in homogeneous dynamics on torus extensions of spaces like SL(n,R)/SL(n,Z). We show that some of them are asynchronous, and discuss the consequences about ergodic properties of lifts of invariant measures.
