数智杰出学者论坛 -- 活动 -- 东北财经大学

【报告人简介】

江文帅，浙江大学数学科学学院教授，国家高层次人才计划入选者，主要研究方向为微分几何与几何分析，在黎曼流形的紧性理论和相关领域的研究中解决了一系列的问题，包括Cheeger，Colding，田刚等数学家的多个公开猜想。研究成果发表在国际权威期刊Ann. Math.（2篇）、Geom. Funct. Anal.、Amer. J. Math.等期刊，曾获中国数学会陈省身数学奖，教育部自然科学奖一等奖等。

【报告摘要】

In this talk, we will study the mean curvature flow in R^3. It is well known that finite-time singularities are inevitable, and an interesting problem in the study of mean curvature flow is to understand the size of the singular set and the geometry of the flow near singularities. We will show that the intrinsic diameter is uniformly bounded as one approach the singular time, which confirms a conjecture of Haslhofer, and we show that the singular set has finite 1-Hausdorff measure. This is a joint work with Yiqi Huang.

撰稿：辛华审核：徐健朱骥单位：数据科学与人工智能学院

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