报告题目:Brown-York mass and positive scalar curvature
报告人：袁伟
报告时间：10:10--11:10
报告地点：理学楼 A 楼 二楼教师活动中心
题目：Brown-York mass and positive scalar curvature
报告人：袁伟（中山大学数学学院）
报告时间：4月24日（周二）10:10--11:10
报告地点：理学楼 A 楼 二楼教师活动中心
摘要： Positive mass theorem is one of the most fundamental results in both physics and mathematics. It has many applications in various fields of geometric analysis. As its compact manifold version, the positive mass theorem for Brown-York mass has been also proved to be a very powerful tool in the study of geometry. In this talk, we will briefly review the positive mass theorem due to Schoen-Yau-Witten and Brown-York mass theorem due to Shi-Tam. As applications of Shi-Tam's result, we show how to use it to derive some interesting geometric results such as esitmates of first eigenvalue of Laplacian with scalar curvature positively lower bounded and an area estimate of critical set for Besse's conjecture etc.
报告人简历：
袁伟，博士，2015年毕业于美国加州大学圣克鲁斯分校并取得理学博士学位。现任中山大学数学学院副研究员，主要研究方向为几何分析与广义相对论的几何理论。此前曾赴法国庞加莱数学研究所（IHP）及奥地利薛定谔研究所（ESI）等多地进行学术访问。目前已在Mathematische Annalen，Calculus of Variations &PDE，Journal of Geometric Analysis 等学术期刊上发表研究论文数篇。相关研究涉及真空静态时空的分类，数量曲率的刚性以及Q-曲率的形变理论等多个领域。
报告人：袁伟（中山大学数学学院）
报告时间：4月24日（周二）10:10--11:10
报告地点：理学楼 A 楼 二楼教师活动中心
摘要： Positive mass theorem is one of the most fundamental results in both physics and mathematics. It has many applications in various fields of geometric analysis. As its compact manifold version, the positive mass theorem for Brown-York mass has been also proved to be a very powerful tool in the study of geometry. In this talk, we will briefly review the positive mass theorem due to Schoen-Yau-Witten and Brown-York mass theorem due to Shi-Tam. As applications of Shi-Tam's result, we show how to use it to derive some interesting geometric results such as esitmates of first eigenvalue of Laplacian with scalar curvature positively lower bounded and an area estimate of critical set for Besse's conjecture etc.
报告人简历：
袁伟，博士，2015年毕业于美国加州大学圣克鲁斯分校并取得理学博士学位。现任中山大学数学学院副研究员，主要研究方向为几何分析与广义相对论的几何理论。此前曾赴法国庞加莱数学研究所（IHP）及奥地利薛定谔研究所（ESI）等多地进行学术访问。目前已在Mathematische Annalen，Calculus of Variations &PDE，Journal of Geometric Analysis 等学术期刊上发表研究论文数篇。相关研究涉及真空静态时空的分类，数量曲率的刚性以及Q-曲率的形变理论等多个领域。