Geometry, Topology and Dynamics Seminar
Michael Brandenbursky
Vanderbilt University
Bi-invariant metrics on diffeomorphism groups
Abstract: In this talk I will discuss various metrics on groups of diffeomorphisms of smooth manifolds, which do or do not preserve some additional structure (usually volume or symplectic form).
Then I will restrict my talk to the case of the group G of area-preserving diffeomorphisms of the 2-disc.
This group admits a natural bi-invariant Autonomous metric. I will show that any finitely generated free abelian group embeds bi-Lipschitz into the group G.
Monday October 22, 2012 at 3:00 PM in SEO 636