Research Programme on Geometry and Dynamics of Integrable Systems
This research Programme wants to focus on the Geometrical and the Dynamical aspects in the study of integrable systems. We want to specially stress out the following topics in the study of integrable systems: 1- Connections of several aspects showing up in the geometry, topology and dynamics of integrable systems in symplectic manifolds such as singular aspects of integrable systems, Symplectic Topology of integrable systems, Integrability criteria and obstructions to integrability, Connection with Geometric Quantization and integrable systems in contact and Poisson manifolds. 2- Study of geodesic flows, their integrability and non-integrability: methods and examples. 3- Applications to Mathematical Physics and classical Differential Geometry.