Gaussian Fields in Random Matrix Theory
June 18 - June 21, 2018
In recent years, Gaussian Fields were found to govern the asymptotics of many observables in random matrix models. Special examples include the 2d Gaussian Free Fields appearing in the study of global fluctuations of linear statistics of eigenvalues, Gaussian Multiplicative Chaos showing up in the asymptotic of characteristic polynomials, and non-linear functionals of Brownian Motion describing local operator limits. Simultaneously, the same objects show up much more generally in the context of statistical mechanics, and even in number theory. In the past decade major progress has been made in the understanding of these phenomena and their rigorous analysis, but many important questions remain unanswered. The workshop will bring together researchers studying different aspects of (Gaussian) random matrix limits present to discuss recent developments and to sparkle new collaborations.