EVENT DETAILS AND ABSTRACT

Title: Ricci-flat metrics on A_k 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 A_k singularity admits no Ricci-flat Kähler cone metrics for k > 2. We show that if k > 3, then A_k 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.