Program

The purpose of this half year program is to discuss and, thereby, to foster the development of challenging new problems and ideas which have recently arisen in the theory of random matrices. The main topics of the program will be: random matrices and completely integrable systems of both the Painlevé and the KP types along with the Riemann-Hilbert and the Virasoro algebra approaches, the relation to algebraic geometry and to topological field theories, the universalities in matrix models, quantum chaos and the GUE conjectures for zeros of zeta functions the relation to exactly solvable statistical mechanics models and to quantum affine algebras,applications to mesoscopic systems andnumerical aspects of the theory.The program committee consists of Pavel Bleher (co-Chair), Alan Edelman, Alexander Its (co-Chair), Craig Tracy and Harold Widom. Suggested reading list