Time：9:00-10:30, Friday, Nov 18, 2022
ZOOM ID: 881 5557 0865
PASSCODE: 291169
Host: Dr. Jiyuan Han, Institute for Theoretical Sciences, Westlake University
Speaker：Prof. Ruobing Zhang, Princeton University
Biography: Ruobing Zhang is now an assistant Professor of Mathematics at Princeton University. His research focuses on differential geometry and geometric analysis. Recently, he has made several breakthroughs in Calabi-Yau metrics and collapsing metrics.
Title：Curvature, holonomy, and metric geometry
Abstract: This talk will describe profound connections between the Ricci curvature and the metric geometry/global topology of the underlying spaces. The main part of the talk will particularly focus on the geometry of Einstein manifolds with special holonomy.
Recently geometric studies have culminated in a complete understanding of Einstein 4-manifolds with special holonomy. Among the tremendous developments in this area, a substantial step is to understand the singularity behaviors. I will summarize recent works on the accurate characterization of singularity formation and the complete classification of degeneration limits on all scales.
