题目：On the Willmore Problem for Surfaces with Symmetries

报告人：王鹏 教授（福建师范大学）

地点：腾讯会议 ID：487 135 210

时间：2021年7月6日  15:30-16:30

摘要：In 1989, Kusner proposed the generalized Willmore conjecture which states that the Lawson minimal surfaces $\xi_{g,1}$ minimizes uniquely the Willmore energy for all immersions in the 3-sphere with genus g>0. We show that it holds under some symmetric assumption. That is, the conjecture holds if $f:M\rightarrow S^3$  is of genus $g>1$  and is symmetric under the symmetric group $G_{g,1}$ action. Here $G_{g,1}$ denote the symmetric group of $\xi_{g,1}$ generated by reflections of circles of $S^3$, used in Lawson's original construction of $\xi_{g,1}$. This is based on joint works with Prof. Kusner.

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