Seminar Geometric Group Theory -- L^p-metrics and autonomous flows

12/02/2015 - 15:00
12/02/2015 - 16:00
Michael Brandenbursky (Ben Gurion University)
Burnside Hall Room 920 (McGill University)

I will discuss a number of results on the interrelation between the L^p -metric on the group of Hamiltonian diffeomorphisms of surfaces and the subset A of autonomous Hamiltonian diffeomorphisms. In particular, I will show that there are Hamiltonian diffeomorphisms of all surfaces of genus g ≥ 2 or g = 0 lying arbitrarily L^p -far from the subset A, and the diameter of this group equipped with the autonomous metric is infinite. This is a joint work with Egor Shelukhin.

Last edited by on Wed, 12/02/2015 - 10:47