|Symplectic Dynamics Seminar|
|Topic:||Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms|
|Affiliation:||University of Notre Dame; Member, School of Mathemtics|
|Date:||Wednesday, October 19|
|Time/Room:||4:00pm - 5:00pm/S-101|
In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geometry of this group equipped with the $L^2$ metric. I will describe some recent work on the structure of singularities of the associated exponential map and related results.