云亭数学讲坛2024第51讲——李嘉禹教授

文章来源:皇冠正规娱乐平台发布日期:2024-10-22浏览次数:10

 应甘肃省数学与统计学基础学科研究中心和学院邀请,中国科学技术大学李嘉禹教授将来中心和学院访问并作学术报告。

报告题目:On the symplectic mean curvature flows

报告摘要:Symplectic property is preserved along the mean curvature flow in Kahler-Einstein surface, which is called Symplectic mean curvature flow. It was proved that there is no a Type I singularity for the symplectic mean curvature flow. In this paper, we will study the translating soliton which is an important model of a Type II singularity of the mean curvature flow. We first prove that asymplectic tran- slating soliton must be a plane under some natural assumptions, we then demonstrate the necessity of these assumptions through an exploration of compelling examples. Furthermore, we find a necessary condition for the translating soliton being a blow-up limit of the symplectic mean curvature flow in a Kahler-Einstein surface. Finally, we use the necessary condition to exclude the translating soliton we construct as blow-up limits of the flow.

报告时间:2024102316:30

报告地点:致勤楼D08

邀 请 人:刘建成 教授

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报告人简介

 李嘉禹,中国科学技术大学数学科学学院教授,博士生导师。现担任国际理论物理中心(ICTP) 研究员、中德几何分析伙伴小组组长、中法数学中心主任、数学与系统科学研究院学位委员会副主席、《偏微分方程》和《数学学报》编委。主要从事几何分析方面的研究,在几何分析领域做出了一批重要的创新工作,开创了一些新的有意义的研究方向。1999年获国家杰出青年科学基金和香港求是科技基金会杰出青年学者奖,2001年获中国数学会陈省身数学奖。

 甘肃省数学与统计学基础学科研究中心

 皇冠正规娱乐平台

20241022


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