2018 Apr 11

Analysis Seminar: Cy Maor (Toronto) "The geodesic distance on diffeomorphism groups"

12:00pm to 1:00pm


Ross Building, Room 70
Since the seminal work of Arnold on the Euler equations (1966), many equations in hydrodynamics were shown to be geodesic equations of diffeomorphism groups of manifolds, with respect to various Sobolev norms. This led to new ways to study these PDEs, and also initiated the study of of the geometry of those groups as (infinite dimensional) Riemannian manifolds.