Abstract: In this talk, we will study harmonic functions on manifold with Ricci curvature bounded below. By proving an epsilon-regularity theorem and a blipschitz estimate, we can get uniform Hausdorff measure estimate of the nodal set to the harmonic functions. This is a joint work with J. Chu and H. Ge.

个人简介：江文帅，浙江大学求是特聘教授，数学科学学院副院长。2018年获阿里巴巴达摩院青橙奖，2019年获国家青年拔尖人才计划支持，2021年获国家杰青项目支持。主要研究黎曼流形的收敛性及其应用，研究成果发表在Annals of Math. ;GAFA; Math. Ann.; Trans. AMS等权威期刊上。