Capillary hypersurfaces: Geometric inequalities, curvature flows and related problems
科研大讨论系列报告
报告题目(Title):Capillary hypersurfaces: Geometric inequalities, curvature flows and related problems
报告人(Speaker):王国芳(德国弗莱堡大学)
地点(Place):后主楼1124
时间(Time):5月24日下午4:00-5:00
邀请人(Inviter):彦文娇
报告摘要
In this talk, we first introduce geometric quantities for capillary hypersurfaces, and then establish isoperimetric type inequalities, Alexandrov-Fenchel inequalities, by studying corresponding geometric flows. We will also talk about a related Minkowski type problem and other related problems. The talk is based on a joint work with Chao Xia and other collaborators.
主讲人简介
王国芳,1984年浙江大学数学系本科毕业,1987年杭州大学 硕士毕业,1990年中国科学院数学研究所博士毕业, 2009年至今任德国弗莱堡大学教授。其研究方向为几何分析与偏微分方程,在调和映照、极小曲面、 Liouville方程、Toda系统、k-Yamabe方程、Sasaki-Einstein度量、各向异 性PDE、高阶正质量定理等方面做出了一系列重要成果,在包括Duke, CPAM, JDG, JEMS, J. Reine Angew. Math., Amer. J. Math., Adv. Math., Comm. Math. Phys., Math. Ann.等一流数学杂志发表论文90余篇。据MathScinet上 统计,论文引用已超过2700余次。