Paul Bourgade: Random matrix universality
Dates: 21-25 September
Abstract: Following Wigner’s insight that universal statistical laws should govern complex correlated systems, random-matrix statistics are now known (or conjectured) to arise in a wide range of settings, including random linear algebra, random graphs, semiclassical analysis, and number theory. This mini-course will explain the dynamical proof of universality for Wigner matrices, following the method of Erdős, Yau, and collaborators, and will discuss related open problems. Topics will include concentration of measure, local laws, Dyson Brownian motion, and loop equations.
Giuseppe Cannizzaro: Critical and Super-critical non-reversible continuum dynamics: large-scale behaviour and universality
Dates: 5-9 October and 23-27 November
Abstract: TBA
Hao Shen: Stochastic approach to quantum gauge theories
Dates: 12-23 October
Abstract: TBA
Thomas Leblé: The infinite-volume limit of 1d log-gases: a statistical physics approach
Dates: 9-20 November
Abstract: TBA