Title: Ricci-flat metrics on Ak singularities
Speaker: Hans-Joachim Hein
Speaker Info: University of Maryland
Brief Description:
Special Note:
Abstract:
By work of Gauntlett-Martelli-Sparks-Yau, the 3-dimensional Ak singularity admits no Ricci-flat Kähler cone metrics for k > 2. We show that if k > 3, then Ak admits a Ricci-flat Kähler metric with an isolated point singularity whose Gromov-Hausdorff tangent cone has nonisolated singularities. These new metrics also give rise to counterexamples to various open questions in the geometry of Ricci curvature. Joint work with Aaron Naber.Date: Thursday, May 28, 2015