Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms
| Symplectic Dynamics Seminar | |
| Topic: | Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms |
| Speaker: | Gerard Misiolek |
| 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.