报告名称：Volume gap for minimal submanifolds in spheres

主讲人：葛建全 教授

邀请人：几何团队

时间：2023年03月24日    15:30

地点：十大网投正规信誉官网122学术报告厅

主办单位：十大网投正规信誉官网

报告摘要

We show there is a volume gap for nonembedded closed minimal submanifolds in spheres, generalizing Li-Yau’s result from 2 dimension to arbitrary dimension and in particular, proving the Solomon-Yau conjecture for nonembedded case. Besides, for certain minimal CSC hypersurfaces, we also obtain some volume gap results, improving the general gap of Cheng-Li-Yau in these special cases.    

专家简介

葛建全，国家优秀青年基金获得者、青年长江学者，现任北京师范大学数学学院教授，博士生导师。主要研究领域是微分几何，特别是子流形的几何与拓扑,已在Advances in Math.,Math. Ann., Crelle,J. Funct. Anal.,Trans. Amer. Math. Soc.,IMRN等国际高水平数学学术期刊上发表论文三十余篇。