Saturday, July 23, 2011

Finite Dimensional Integrable Systems in Geometry and Mathematical Physics 2011


Jul 26, 2011 - Jul 29, 2011 | Jena, Germany

The emphasis of the conference will be on geometry. The lectures will explain the connections between the modern theory of finite dimensional integrable systems and other branches of mathematics and mathematical physics, their role in interactions between mathematics and physics, as well as their applications in geometry and physics. The topics include: Integrable geodesic flows and natural Hamiltonian systems, Integrable systems on Lie algebras and symmetric spaces, Applications of finite dimensional integrable systems in mathematical physics and general relativity, Integrability criteria and obstructions to integrability, Symplectic geometry and dynamics of integrable systems, Killing tensors and separation of variables, Systems of PDE and Cartan geometries arising in the theory of integrable systems.

Topics:

Integrable geodesic flows and natural Hamiltonian systems
Integrable systems on Lie algebras and symmetric spaces
Applications of finite dimensional integrable systems in mathematical physics and general relativity
Integrability criteria and obstructions to integrability
Symplectic geometry and dynamics of integrable systems
Killing tensors and separation of variables
Systems of PDE and Cartan geometries arising in the theory of integrable systems

The FDIS2011 is organized by Vladimir S. Matveev, Christian Richter and Konrad Schöbel.

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