Differential Geometry Seminar: Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

Seminar | September 24 | 3:10-4 p.m. | 939 Evans Hall

 Jeff Viaclovsky, UC Irvine

 Department of Mathematics

I will discuss a new construction of families of Ricci-flat Kähler metrics on K3 surfaces which collapse to an interval, with Tian-Yau and Taub-NUT metrics occurring as bubbles. There is a corresponding singular fibration from the K3 surface to the interval, with regular fibers diffeomorphic to either 3-tori or Heisenberg nilmanifolds. This is joint work with Hans-Joachim Hein, Song Sun, and Ruobing Zhang.