MATRIX Research Program: Log-gases in Caeli Australi: Recent Developments in and Around Random Matrix Theory

The goal of this program is to bring together world-leading specialists on topics contiguous to random matrix theory for the purposes of sharing recent breakthroughs and initiating collaborations across multiple disciplines. Research activities will focus on relations between random matrix theory and the following themes: statistical mechanics of log-gases; machine learning and statistical inference; (free) probability theory; orthogonal polynomials and asymptotic analysis; and integrable systems including Painlevé equations.

This program will run for two weeks, with mornings reserved for talks and afternoons for collaborative discussion sessions led by distinguished leaders of their respective fields. The talks in the first week will focus on the dissemination of cutting edge research and the advertisement of open problems amenable to interdisciplinary research efforts, while the second week will give the remaining participants ample opportunity to share their recent achievements and otherwise network with a truly international community. Indeed, by providing an environment conducive to intensive research between Australian mathematicians (across all career stages) and their (long-standing and/or potential) international colleagues, this program will contribute greatly towards bridging the geographical gap between the relevant research communities in and outside Australia.