Title: Ricci-flat Metrics and Dynamics on K3 Surfaces
Abstract: We give an overview of some recent interactions between the geometry of K3 surfaces and their Ricci-flat Kahler metrics and the dynamical study of K3 automorphisms with positive entropy.
Title: Collapsing Calabi-Yau Manifolds
Dedicated to Professor Shing-Tung Yau on the occasion of his 70th birthday
Abstract: We survey some recent developments on the problem of understanding degenerations of Calabi-Yau manifolds equipped with their Ricci-flat Kahler metrics, with an emphasis on the case when the metrics are volume collapsing.