报告(一）

题目：Eigenvalue estimates for Laplacians on minimal hypersurfaces
时间：2024年9月12日(周四）下午15:00-16:00
地点：理科楼A304
报告人：周德堂教授（Universidade Federal Fluminense, Brazil）
摘要：It is well known that the spectrum of the Laplacian on a compact manifold is discrete. We proved that the drift Laplacian on a proper self shrinker also has a discrete spectrum. In this talk, I would like to present some recent results on the estimates of eigenvalues of both Laplacians on compact and noncompact minimal hypersurfaces.


报告（二）

题目：Rigidity properties for the self-expanders of mean curvature flows
时间：2024年9月12日(周四）下午16:10-17:10
地点：理科楼A304
报告人：程旭教授（Universidade Federal Fluminense, Brazil）
摘要：In this talk, we will discuss a special type of hypersurfaces in Euclidean space, the self-expanders, which are the self-expanding solutions for the mean curvature flows. The volume growth and finiteness of the Gaussian-weighted volumes will be given in terms of the linear growth rate of the mean curvature. Some rigidity properties of the hyperplanes as self-expanders will be presented as well as the estimation of the bottom of the spectrum of the drifted Laplacian. We will also discuss self-expanders with constant scalar curvature.

邀请人：李海中，马辉，陈大广