New Publications by Valentino Tosatti

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 Kähler metrics and the dynamical study of K3 automorphisms with positive entropy.

arXiv: 2003.06976


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 K¨ahler metrics, with an emphasis on the case when the metrics are volume collapsing.

arXiv: 2003.00673