Jean-Morlet Chair Integrability and Randomness in Mathematical Physics

Over the last 20 years integrability has assumed an increasingly prominent role in various fields of mathematical physics. The modern theory of integrable systems grew up around the study of the Korteweg de Vries (KdV) equation, with origins in the seminal work of Zabusky and Kruskal about the recurrence behaviour of solutions, the discovery of the Lax pair, multi-soliton solutions and infinite number of conservation laws. In other surprising connections, integrable systems like the KdV equation and the Toda lattice were proven to appear in fundamental combinatorial models, in random matrices and the geometry of moduli spaces. The aim of the conference will be to foster interactions among researchers that work in the following fields: - integrable systems and their connections to geometry - random matrices, determinantal point processes and integrable probability - dispersive PDEs in random environment.