题目： Rigidity results on symplectic self-shrinking surfaces and Legendrian self-shrinkers

报告人：邱红兵（武汉大学）

报告时间：2026年5月21日 14：30- 15：30

报告地点：腾讯会议 496 106 147

摘要： In this talk, we focus on symplectic self-shrinking surfaces in R 4 and Legendrian self shrinkers in contact Euclidean spaces. Firstly, we give a rigidity result of symplectic self-shrinking surfaces by restriction of the image under the complex phase map, it not only improves a corre sponding rigidity theorem of symplectic self-shrinking surfaces, but also it is optimal. Secondly, by estimating the weighted volume, we obtain the optimal volume growth for Legendrian self shrinkers. This, in turn, yields a rigidity theorem for entire smooth Legendrian self-shrinkers in the standard contact Euclidean (2n + 1)-space. This talk is based on joint works with Professors S-C. Chang, L. Sun and L. Zhang.