K3 surfaces: geometry and dynamics

Valentino Tosatti (McGill University, Canada)
K3 surfaces: geometry and dynamics

Abstract: K3 surfaces are a class of compact complex manifolds that enjoys many special properties and play an important role in several areas of mathematics. In this colloquium, I will discuss a new interplay between complex geometry and analysis on K3 surfaces equipped with their Calabi-Yau metrics, and dynamics of holomorphic diffeomorphisms of these surfaces, that Simion Filip and I have been investigating recently.