Abstract

In this presentation, we talk about the stability of the Willmore functional. For an integral 2-varifold in with square integrable gene ralized mean curvature and finite mass, if its Willmore energy is smaller than and the mass is normalized to be, we show that is and bi-Lipschitz close to the standard embedding of the round sphere in a quantitative way when For, we prove that the sharp constant is. This is a joint work with Dr. Yuchen Bi.

Speaker

周杰，2014年本科毕业于南开大学，2019年博士毕业于中科院，毕业后在清华大学做博士后研究，于2021年8月加入首都师范大学数学科学学院。主要研究方向是几何分析，目前已在国际知名期刊上发表论文多篇。