报告题目：Compactness and Existence of Prescribed Mean Curvature Surfaces of Abitrary Codimensions
时 间：2025年9月2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: Constant Mean Curvature (CMC) and Prescribed Mean Curvature (PMC) surfaces are pivotal in diverse fields including mathematics, physics, and biology. They arise naturally in partitioning problems, isoperimetric problems, general relativity, two-phase interface problems, tissue growth etc. Despite the well-established existence theory for CMC and PMC hypersurfaces, constructing closed surfaces with prescribed mean curvature vector, admitting prescribed topology and controlled Morse index in general $n$-dimensional compact Riemannian manifold remains elusive. In this talk, we will outline our recent advancements in the compactness and existence theory for PMC surfaces with arbitrary codimensions, contributing to a supplement of such area. This talk is based on the joint work with Prof. Miaomiao Zhu.
报告人简介：高瑞，男，汉族，上海交通大学博士研究生，主要从事微分几何和几何分析研究，在国际知名期刊CVPDE, JGA, PAMS等发表3篇SCI论文，并在多个学术会议上作邀请报告，荣获2024年度国家奖学金.