温州大学数理学院2026年第8期数理大讲堂

报告题目：Localized Deformations of Curvatures and Rigidity on Manifolds with Boundary

报告人：盛弘毅博士（西湖大学）

主持人：郭洪欣 教授

报告时间：5月30日下午2:00-3:00

报告地点：3B205

摘要 ：Localized deformations and gluing constructions for initial data sets are fundamental tools in general relativity. For interior domains, this field was pioneered by Corvino, who established the local surjectivity of the scalar curvature operator. This work was later extended to the full constraint map by Corvino-Schoen, and developed into a systematic theory using weighted spaces by Chruściel–Delay, Carlotto–Schoen, Corvino–Huang, and others.

In this talk, I will discuss how these results can be generalized to the boundary setting under generic conditions, highlighting the unique analytical challenges that arise in this context. We will also examine the non-generic case, where various geometric constraints emerge, and discuss the resulting rigidity theorems and their connections to the positive mass theorem.

报告人简介：

盛弘毅博士本科毕业于浙江大学竺可桢学院，博士毕业于美国加州大学尔湾分校，师从国际著名几何学家 Richard Schoen 教授。博士毕业后，他曾于加州大学圣地亚哥分校担任访问助理教授。目前，盛博士在西湖大学从事博士后研究工作，合作导师为汪徐家教授。他的研究方向主要集中在几何分析与广义相对论，长期致力于曲率的局部微扰等相关问题。