报告题目 (Title):On the Willmore problem for surfaces with symmetries
报告人 (Speaker):王鹏 教授(福建师范大学)
报告时间 (Time):2022年11月17日(周二) 10:00-11:00
报告地点 (Place):腾讯会议(716-8675-1741)
邀请人(Inviter):席东盟、李晋、张德凯
主办部门:理学院数学系
报告摘要: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 a joint work with Prof. Kusner (UMass Amherst) and Prof. Ying Lv (Xiamen Univ.)