Course on Integrable Systems

Jean Avan, CNRS research director and researcher from Laboratory of Physics: Theory and Models at Université de Cergy Pontoise, will lecture this three-session course on November 12th, 14th and 19th.

Wednesday 12th, 12 to 13 h.
Friday 14th, 14:30 to 16 h.
Wednesday 19th, 12 to 13 h.

At Jacques L. Lions classroom at CMM, 7th floor.

Program

1: Introduction: Concepts of classical integrability: N-body systems
-Hamiltonian formulation
-Liouville theorem and extensions
-Lax formulation
-classical r-matrix
-Example: The Calogero-Moser model

2: Extension to classical field theory :
-Lax formulation, monodromy matrix, r-matrix
-Example: Korteweg de Vries equation
-Classical Inverse Problem.

3: Quantum Integrability:
-Factorizable amplitudes to QYB equation
-Quantization of monodromy matrices to QYB equation
-Quantum groups, spin chains.

Contact: Prof. Servet Martinez