From separable geodesic motion to bihamiltonian dispersionless chains

Abstract:
The scope of speech will cover bi-hamitonian theory of integrable (and separable) dynamical systems. Of main interest are hydrodynamic (or dispersionless) systems and ways one obtains their  bi-hamiltonian  chains. Discussed method requires set of compatible Riemann metrics as produced in Benenti systems with help of so called special conformal Killing tensor. Some examples will be given -- among all KdV equation for dimension 3.