报 告 人: 李轩宇 (康奈尔大学)

时间地点: 6月8日（周一）16:00，五教5107

题    目: Uniqueness and non-uniqueness results of harmonic map flows

摘    要: The harmonic map flow is the L^2 negative gradient flow of the energy functional between manifolds. In this talk, I will first briefly introduce the existence of harmonic map flow. Then, I will discuss the previous uniqueness and non-uniqueness results of it. Finally, I will talk about the existence of self-expander starting from non-energy-minimizing homogeneous data, which gives the non-uniqueness for a wide class of initial values.

报告人简介: 李轩宇，数学科学学院19级华罗庚班毕业生，现在康奈尔大学深造，师从周鑫教授和Daniel Stern教授。李轩宇的研究主要关注来自几何的泛函的变分问题，如极小曲面和调和映照的存在性和正则性问题，已完成多篇论文，部分已发表在CVPDE等期刊上。