

报告题目: On Willmore problem for surfaces and submanifolds in spheres
报告时间: 2025-07-24 10:00——2025-07-24 11:00
报告人: 王鹏 教授
报告地点: 劝学楼423
主办单位: 数据科学与人工智能学院
【报告人简介】
王鹏,福建师范大学数学与统计学院教授,闽江学者特聘教授,博士生导师。研究方向为微分几何,特别是Willmore曲面和极小曲面;在WIillmore 2维球面的分类、Willmore曲面的可积系统刻画及Willmore猜想相关问题上做出了系列重要工作,在JDG、Adv. Math.、Crell’s journal、Math.Ann.等著名学术期刊上发表学术论文30余篇。主持国家自然科学基金面上项目2项,青年基金1项。
【报告摘要】
In this talk we will report our recent works on the Willmore problem for surfaces and submanifolds in spheres. For the case of surfaces, we will introduce the classification of Willmore two-spheres, characterization of Clifford torus and Lawson's embedded minimal surface xi_{m,k}. For submanifolds, we will show the construction of lambda_1 minimal flat 3-tori and 4-tori in spheres. We will also consider the index of minimal submanifolds in spheres as well as Willmore stability of some minimal submanifolds.
撰稿:辛华 审核:富宇