On Ilmanen′s multiplicity-one conjecture for mean curvature flow
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：李皓昭副教授
：2019-11-21 14:00
：实验楼105
Speaker：Dr. Haozhao Li
University of Science Technology of China
Title: On Ilmanen's multiplicity-one conjecture for mean curvature flow
Time：21 Nov 2019, 14:00-17:00
Location：实验楼105
Abstract: In this talk, we show that if the mean curvature of a closed smooth embedded mean curvature flow in R^3 is of type-I, then the rescaled flow at the first finite singular time converges smoothly to a self-shrinker flow with multiplicity one. This result confirms Ilmanen's multiplicity-one conjecture under the assumption that the mean curvature is of type-I. As a corollary, we show that the mean curvature at the first singular time of a closed smooth embedded mean curvature flow in R^3 is at least of type-I. This is joint work with Bing Wang.
Speaker Introduction：李皓昭本科毕业于武汉大学，2007年获得北京大学博士学位。此后分别在法国巴黎12大和法国高等科学研究院工作和访问，2010年加入中国科大数学科学学院任副教授，2017-2018年赴美国麻省理工学院访问。2019年，李皓昭与合作者解决了三维欧氏空间中闭嵌入平均曲率流的延拓问题，成果发表在世界顶级数学期刊Inventiones Mathematicae上。此外他还有多篇文章，发表在GAFA，Math. Ann., IMRN等著名期刊上。
联系人：宋翀副教授
