Complex Geometry and Dynamical Systems

Abstract

The workshop focused on recent developments in complex geometry, several complex variables, and holomorphic dynamics. The topics of the talks included complex Monge–Ampère and Hessian equations, pluripotential theory and the theory of currents, Bergman and Szegő kernels together with their asymptotic and spectral aspects, as well as complex dynamics in higher dimensions. Further themes were random and asymptotic questions in complex geometry, hyperbolicity, non-Kähler geometry, period maps, moduli problems, and interactions with birational geometry, arithmetic geometry, and mathematical physics.