Random matrices and operators represent a paradigm for many correlated systems which arise in physics, computer science, pure and applied mathematics. The efforts to understand random matrix statistics are of two types, integrability and universality. While the ubiquity of random matrices in natural sciences is still a mystery, in spectacular breakthroughs in the past twenty years, new robust analytic methods have allowed the extension of local random matrix statistics to a wide range of probabilistic models. More recently new integrable statistics have been proved thanks to special functions, branching techniques or supersymmetry and have attracted considerable attention.

The main goal of this workshop will be to confront all these remarkable techniques to make progress on problems exhibiting random matrix statistics, including Random Schrodinger operators, non-Hermitian ensembles, Coulomb gases, log-correlated fields and branching processes.