报告题目：Positive mass theorem and positive scalar curvature for singular metrics
时 间：2024年10月22日（星期二）10：00
地 点：科研楼18号楼1102
主 办：数学与统计学院，分析数学及应用教育部重点实验室，福建省分析数学及应用重点实验室
参加对象：相关专业师生
报告摘要： The positive mass theorem of Schoen-Yau and Witten is one of the fundamental results about scalar curvature. It is closely related to the existence problem of positive scalar curvaure metrics. The studies of weak notions of positive scalar curvature motivate to the studies of these problems for singular metrics. In this talk, I will review some previous results on this topics, and talk about our work on positive mass theorem and Geroch type theorem for metrics with isolated conical singularities. This is a joint work with Professor Xianzhe Dai and Dr. Yukai Sun.
报告人简介：王常亮，同济大学数学科学学院特聘研究员，2016年获加州大学圣芭芭拉分校博士学位，先后在加拿大麦克马斯特大学和德国马普数学所从事博士后研究。研究领域为微分几何与几何分析，主要研究爱因斯坦度量稳定性、非负数量曲率流形收敛性等问题，已在Math. Ann., CAG, JGA, Math. Res. Lett., AGAG等国际著名期刊上发表了十多篇论文。