报告人：王鹏教授

        福建师范大学

题目：On the Morse index of minimal tori in S^4

时间：2018年03月23日下午16:00

地点：海韵实验楼105 

报告摘要：Urbano's Theorem plays an important geometric role in the proof of Willmore conjecture, which states that a non-totally-geodesic closed minimal surface x in S^3 has index at least 5 and it is congruent to the Clifford torus if the index is 5. In this talk we will provide a generalization of Urbano's Theorem to minimal tori in S^4 by showing that a minimal torus in S^4 has index at least 6 and it is congruent to the Clifford torus if the index is 6. This is a joint work with Prof. Rob Kusner(UMass Amherst).

报告人简介：王鹏，福建师范大学数学与信息学院教授，2008年博士毕业于北京大学数学科学学院，研究领域为微分几何，主要研究Willmore曲面和极小曲面的整体性质，在Journal of Differential Geometry和Advances in Mathematics等杂志上发表多篇文章。

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