报告题目：Existence of Minimal Legendrian Graph and Its Application to The Smale Conjecture

报告人：张树城教授（重庆理工大学，台湾大学）

时间：2024年7月5日(周五）15:00-16:00

地点：理科楼A304

摘要: In this talk, by using the monotonicity formula and blow-up analysis, we deform the area-preserving contactomorphism of Sasakian (2n+1)-spheres to an isometry via the Legendrian mean curvature flow in CPⁿ×S²ⁿ⁺¹. In particular, we obtain the minimal Legendrian graph and then recapture the Smale conjecture on a Sasakian 3-sphere. Finally, we will address the rigidity theorem of 2-dimensional Legendrian self-shrinkers in R⁵. We are able to reconstruct the Harvey-Lawson special Lagrangian cone in C³ from this Legendrian self-shrinker. This is a joint work with Chin-Tung Wu and Liuyang Zhang.

邀请人：李海中，马辉，陈大广