Modified mean curvature flow and CMC foliation conjecture in almost Fuchsian manifolds

：林龙智（美国University of California Santa Cruz）
：2024-06-25 14:30
：海韵园数理大楼686会议室

报告人：林龙智（美国University of California Santa Cruz）

时  间：2024年6月25日14:30

地  点：海韵园数理大楼686会议室

内容摘要:

For a long time, there has been a folklore conjecture, often attributed to Thurston, which asserts that every almost Fuchsian manifold is foliated by closed incompressible constant mean curvature (CMC) surfaces. In this talk I will discuss our recent work using the modified mean curvature flow to prove the existence of closed incompressible surfaces of constant mean curvature in a certain class of almost Fuchsian manifolds. As an application, we confirm this CMC foliation conjecture for such a class of almost Fuchsian manifolds.

个人简介：

林龙智，美国加州大学圣克鲁兹分校数学系终身教授，2011年毕业于美国约翰霍普金斯大学，并在美国罗格斯大学进行博士后研究。林龙智教授的主要研究领域包括几何分析和偏微分方程，专注于几何流，如平均曲率流、调和映照流及相关问题。他在多个知名期刊如 Geom. & Topo.、Analysis & PDE、Crelle’s Journal、CAG、JFA等上发表了多篇重要论文。

 

联系人：宋翀