报告人：洪寒（清华大学丘成桐数学中心）

时  间：11月3日下午15:00

地  点：腾讯会议ID：785 192 925（无密码）

内容摘要:

In this talk, we will discuss stability results for noncompact capillary surfaces. A classical result in minimal surface theory says that a stable complete minimal surface in $\mathbb{R}^3$ must be a plane. We show that, under certain curvature assumptions, a weakly stable capillary surface in a 3-manifold with boundary has only three possible topological configurations. In particular, we prove that a weakly stable capillary surface in a half-space of $\mathbb{R}^3$ which is minimal or has the contact angle less than or equal to $\pi/2$ must be a half-plane.

个人简介：

洪寒，丘成桐数学中心(YMSC)博士后，清华大学水木学者。主要研究领域是凸几何和几何分析，在容量Minkowksi问题，常均曲面摩尔斯指标估计，特征值优化等方面取得了若干成果，已在CVPDE, IMRN, JGA等杂志发表了数篇论文。

联系人：夏超