Methods for Random Matrix Theory and Applications

Random matrix theory (RMT) is a crossroad of modern mathematics. It brings together and provides a platform for fusing the ideas of such diverse areas as the theory of special functions, orthogonal polynomials, complex analysis, operator theory, representation of affine algebras and quantum group, enumerative topology, combinatorics, number theory, exactly solvable quantum models, quantum chaos, and string theory.  Simultaneously, RMT plays an increasingly important role in many applied sciences and technologies.

This research school will consist of three lecture courses covering:

Operator theoretic methods and their applications 
Lecturer: Estelle Basor (AIM)

Panlevé equations and random matrix theory 
Lecturer: Alexander Its (indiana)

Nonlinear Hamiltonian PDEs and Painlevé transcendents,
Lecturer: Tamara Grava (Bristol and SISSA)

The lecture courses will be supplemented by tutorial sessions and guest lectures by Diane Holcomb (KTH) and Jon Keating (Oxford).