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Static vacuum extensions for Bartnik data near Schwarzschild spheres

组织者

拉尔斯·安德森 , 亚历杭德罗·托雷斯-奥韦拉 , 张笑然

演讲者

Zhongshan An

时间

2025年11月14日 16:30 至 17:30

地点

A3-2-301

线上

Zoom 787 662 9899 (BIMSA)

摘要

Existence of static vacuum spacetimes with prescribed Bartnik data is a natural geometric PDE problem raised in the study of Bartnik quasi-local mass. The flat and Schwarzschild metrics are two fundamental examples of static vacuum spacetimes. In this talk we will first review several results on the existence problem with near-flat Bartnik data. Then we will talk about an existence result for Bartnik data near Schwarzschild spheres based on a joint work with Spyros Alexakis, Ahmed Ellithy and Lan-Hsuan Huang.

演讲者介绍

Zhongshan An is an assistant professor in the Institute of Geometry and Physics at University of Science and Technology of China. Her research has focused on quasi-local mass in general relativity, and construction of Einstein manifolds and spacetimes with prescribed boundary. She completed her PhD in math under the supervision of Professor Michael Anderson at Stony Brook in 2019, and afterwards did postdoc research in University of Connecticut and University of Michigan.