The school will focus on important trends in modern mathematical physics and complex analysis related to multivariate probability theory and integrable systems.

We will have a lecture series on random matrix theory, covering asymptotic spectral properties of classical random matrix ensembles, as well as applications and key techniques, including the Stieltjes transform method and the supersymmetry methods. A course on zeros of random functions will cover various properties of zeros of random polynomials and analytic functions. Finally, a course on integrable nonlinear partial differential equations, which includes the nonlinear Schrödinger equation as a prototype, will introduce the widely used inverse scattering transform method with detailed methods for solving the Riemann-Hilbert problem. All lectures will be given by leading experts in their fields.

Programme will also include problem-solving sessions, a poster session, and discussions in groups.