中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人:陈竞一 教授(加拿大UBC)
题 目:Harmonic maps from stratified 2-spheres with applications to geometric flows
时 间:08.13(星期三), 10:30--11:30
地 点:数学院南楼N913室
摘 要:To consider convergence of a sequence of harmonic maps from surfaces, one needs to use stratified surfaces in the so-called bubble tree construction. In joint work with Yuxiang Li, we prove finiteness of homotopy classes of harmonic maps from stratified 2-spheres with uniformly bounded energies. As an application, we construct new examples of harmonic map flows and mean curvature flows which develop singularity in a finite time.