学术报告

Geometry and Analysis of Collapsed Einstein Spaces

阅读次数:1074

题目: Geometry and Analysis of Collapsed Einstein Spaces
报告人:Ruobing Zhang ,Phd (Stony Brook University)
报告地点:致远楼108室
时间:2019年6月19日下午 4:00-5:00
Abstract:
This talk focuses on recent progress regarding the collapsing theory of Einstein spaces. Specifically, the talk consists of the following primary parts: 
(1) We will introduce some regularity and structure theorems for higher dimensional collapsing manifolds with Ricci curvature bounds which works in very general settings. 
(2) This talk is also concerned with the geometry of collapsed Ricci-flat Kähler manifolds. Besides exhibiting new collapsing Einstein families, we will establish the correspondence between complex structures (Type II) degeneration and the metric collapsing.
(3) We will construct new families of collapsed Einstein metrics in low dimensions, especially for K3 manifolds. This part involves producing new bubble limits, constructing singular nilpotent Killing structures and understanding multi-scale collapsing with singularities.  

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