On the integrability of the geodesic flow on infinite dimensional ellipsoids

Vortrag von Prof. Dr. Jean-Pierre Marco

Sprecher eingeladen von: Prof. Dr. Thomas Kappeler

Datum: 13.12.18  Zeit: 15.00 - 16.00  Raum: 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 $\ell^2(\N)$.