Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

Date
2018/06/19 Tue 15:00 - 16:30
Room
6号館609号室
Speaker
Jeff A. Viaclovsky
Affiliation
University of California, Irvine
Abstract

I will discuss a new construction of families of Ricci-flat Kahler 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.