Westlake Online Math Forum第三期 | Ruobing Zhang: Curvature, holonomy, and metric geometry

2022-11-14 08:49:33

时间2022年11月18日(周五)9:00-10:30

ZOOM ID:881 5557 0865

PASSCODE: 291169


主持人: 理论科学研究院 韩骥原 博士

主讲人: 普林斯顿大学 张若冰教授

主讲人简介: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.


讲座主题:Curvature, holonomy, and metric geometry

讲座摘要: 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.


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