基础数学系学术报告

--微分几何讨论班（2023年秋第5讲）

题目：On the Willmore problem for surfaces with symmetries

报告人：王 鹏 教授（福建师范大学）

时间：2023年11月13日 16:00-17:00

地点：沙河校区J5-311

摘要：The famous Willmore conjectures states that the Clifford torus minimizes Willmore energy among all 2-tori in S^3, which was proved by Marques and Neves. For higher genus surfaces, it was conjectured by Kusner that the Lawson minimal surfaces $\xi_{g,1}$ minimizes the Willmore energy for all immersions in $S^3$ with genus g>1. We show that it holds for surfaces in S^3 which have genus g>1 and are symmetric w.r.t. the group \tilde{G}_{g,1}. Here \tilde{G}_{g,1} denotes a group generated by halfturns about some great circles of S^3, which is a subgourp of the symmetric group of \xi_{g,1}. This is based on joint works with Prof. Kusner (UMass Amherst) and Prof. Ying Lv (Xiamen Univ.)

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；主要研究方向为Willmore曲面与极小曲面，主持国家自然科学基金面上项目3项，青年基金1项；在J. Diff. Geom., Adv. Math., J. Reine Angew Math.,  Bull. London Math. Soc., Tohoku Math J., Pacific J. Math., Proc. AMS等期刊上发表学术论文20多篇。

邀请人：谢振肖、张世金