报告题目：Weighted geometric inequalities and applications
时间：11月21日 下午3:30
地点：藕舫楼724
报告人：韦勇
主持人：姚卫
摘要：In this talk, we discuss some weighted geometric inequalities for domains in space forms. First, we consider a weighted isoperimetric inequality which compares boundary momentum, boundary area and enclosed volume for a star-shaped and mean convex domain in the Euclidean space. As an application, we prove the Weinstock type inequality on the first non-zero Steklov eigenvalue for such domains. Second, we consider the weighted Alexandrov-Fenchel type inequalities which involve weighted curvature integrals and quermassintegrals for domains in space forms. For the proof, we used inverse curvature flows. The talk is based on some joint work with Yingxiang Hu, K.-K. Kwong,Haizhong Li and Tailong Zhou.
报告人简介：韦勇，中国科学技术大学数学学院特任教授。2014年从清华大学博士毕业，导师是李海中教授。2014-2020先后在英国伦敦大学学院和澳大利亚国立大学从事博士后研究。2020年回国入职中国科学技术大学。研究方向是微分几何和几何分析。近期研究兴趣有G2几何流和超曲面的几何流及其应用。
数学与统计学院
2023年11月20日
