30 Mar 2005; Mat-Nat Faculty (UiTø), room U1. Wednesday 10:15-12:00

Vladimir Matveev (Freiburg University, Germany)

"Integrable systems and differential geometry"

I will present two results.

The first is joint with H. Dullin and is an application of differential geometry to integrable system: We constructed new examples of integrable systems on the sphere.

The second is joint with A. Bolsinov and is an application of theory of integrable systems to differential geometry: We proved that on every manifold there exists two metrics such that their geodesic flows are conjugate.