Seminar:
Geometric Analysis and Application
Event time:
Friday, October 27, 2023 - 2:00pm
Location:
KT 906
Speaker:
Longzhi Lin
Speaker affiliation:
UC Santa Cruz
Event description:
Abstract: 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. This is joint work with Zheng Huang and Zhou Zhang.