报告人: 王 鹏 (福建师范大学)
报告时间：2022年10月26日（周三）14:00-15:00
腾讯会议：677-313-734
报告摘要：The Willmore conjecture states that the Clifford torus minimizes uniquely the Willmore energy \int (H^2+1) dM among all tori in S^3, which is solved by Marques and Neves in 2012. An important basis of their proof is Urbano Theorem. In this talk we will show the following Urbano type theorem: for a minimal torus in S^4, its Morse Index >=6, with equality holding iff it is the Clifford torus.For higher genus surfaces, it was conjectured by Kusner that the Lawson minimal surface, \xi_{m,1}: M-->S^3, minimizes uniquely among all genus m surfaces in S^n. In this talk, we will also show that this conjecture holds under the assumption that the (conformal) surfaces in S^n have the same conformal structure as \xi_{m,1}. This is based on joint works with Prof. Kusner.
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Willmore曲面和极小曲面；主持面上项目2项，青年基金1项；在JDG、Adv. Math.、Pacific J. Math.、BLMS、Tohoku Math. J.、PAMS等期刊上发表学术论文20多篇。
邀请人：王 奎