题目：Spectral properties and rigidity for self-expanding solutions of the mean curvature flows
报告人：程旭 教授，Universidade Federal Fluminense
Abstract：In this talk, we will discuss self-expanders which are the self-expanding solutions for mean curvature flows. We give a universal lower bound of the bottom of the spectrum of the drifted Laplacian and prove that the Euclidean subspace through the origin is the unique self-expander so that this lower bound is achieved. Further, for self-expander hypersurfaces, we prove an inequality between the bottom of the spectrum of the drifted Laplacian and the bottom of the spectrum of weighted stability operator and discuss the case that the equality holds.