Institute of Mathematics

Talk

Modul:   MAT675  PDE and Mathematical Physics

On the integrability of the geodesic flow on infinite dimensional ellipsoids

Talk by Prof. Dr. Jean-Pierre Marco

Speaker invited by: Prof. Dr. Thomas Kappeler

Date: 13.12.18  Time: 15.00 - 16.00  Room: Y27H46

In this talk we will first recall the proof of the integrability of the geodesic flow on finite dimensional ellipsoids, together with the necessary underlying algebraic geometry.This will yield a system of first integrals in involution, which we will prove to extend to the case of the infinite dimensional ellipsoids in $\ell^2(\N)$.