Differential Geometry Seminar: Positive currents on the boundary of the ample cone of K3 surfaces

Seminar | November 25 | 3-4 p.m. | 939 Evans Hall

 Simion Filip, IAS

 Department of Mathematics

A lot of attention has been given to the degenerations of Ricci-flat metrics on K3 surfaces as the Kahler class approaches a rational point on the boundary of the ample cone. This corresponds to Gromov–Hausdorff collapse of the K3 along an elliptic fibration. I will discuss how to use techniques from dynamics to understand the behavior of the Ricci-flat Kahler form as the class approaches an irrational point on the boundary. Joint work with Valentino Tosatti.