Gerard Misiolek


Speaker: Gerard Misiolek
Title: The Morse-Littauer Theorem in Hydrodynamics
Affiliation: University of Notre Dame
Date: Friday, March 9, 2018
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. I will discuss an infinite-dimensional analogue of this classical theorem of Riemannian geometry that has been proved in the setting of ideal fluids. Along the way I will also describe geometric and analytic tools and results that have been obtained since the seminal 1966 paper of Arnold that described fluid motions as geodesics in a space of volume-preserving diffeomorphisms.