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
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.)