Title：Symmetric minimal surfaces in S^3 as conformally-constrained Willmore minimizers in S^n 

Speaker：Peng Wang （福建师范大学）

Time：2018年10月19日（周五）    下午 16:00-17:30

Room：东区管理科研楼   数学科学学院1418室

Abstract：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 recently by Marques and Neves in 2012. 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. The conjecture reduces to the Willmore conjecture for tori if m=1, since /xi_{1,1} is the Clifford torus. In this talk, we will prove this conjecture under the assumption that the (conformal) surfaces in S^n have the same conformal structure as /xi_{m,1}, i.e, they are conformal maps from the same Riemann surface.