Modified mean curvature flow and CMC foliation conjecture in almost Fuchsian manifolds
- A+
: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