报告题目：A NEW CHARACTERIZATION OF THE CLIFFORD TORUS AS A LAGRANGIAN SELF-SHRINKER

报告人：HAIZHONG LI ( TSINGHUA UNIVERSITY, BEIJING)

报告时间：11月9日 15:00-16:00

地点：1208

摘要: Self-shrinkers play an important role in the study of the mean curvature flow. Not only they correspond to self-shrinking solutions to the mean curvature flow, but also they describe all possible Type I blow ups at a given singularity of the mean curvature flow. In this talk, we will show that the Clifford torus is the unique compact Lagrangian self-shrinker in 2dimensional complex plane with|A|2 ≤ 2 , which gives an affirmative answer to Castro-Lerma’s conjecture. This is joint work with Xianfeng Wang.