Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

開催日時
2018/06/19 火 15:00 - 16:30
場所
6号館609号室
講演者
Jeff A. Viaclovsky
講演者所属
University of California, Irvine
概要

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.