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报告题目：

On the Morse index of minimal tori in S^4

报 告 人：

王鹏 教授（同济大学）

报告时间：

2018年05月29日 16:00--17:00

报告地点：

理学院东北楼四楼报告厅（404）

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).