报告名称：Isoperimetric Inequalities for Eigenvalues of Riemannian Manifolds

主办单位：英国立博官网中文版

报告专家：夏昌玉

专家所在单位：巴西利亚大学

报告时间：2020年10月6日10：00-12：00

报告地点：腾讯会议（会议ID：561 970 466）

专家简介：夏昌玉，巴西利亚大学数学系终身教授，博士生导

师，国际知名几何学家，已发表学术论文近90篇，其中部分成

果刊发在American J. Math., Math. Ann., Commun. Math. Phys., Calc.

Var. PDEs, Trans. Amer. Math. Soc., J. Funct. Anal., Compositio Math.,

Commun. PDEs, Math. Z.等国际高水平学术期刊上。

报告摘要：

Eigenvalues are important invariants of Riemannian manifolds and have

been widely studied by many researchers. In this talk, we review some of the known isoperimetric inequalities for eigenvalues of the Laplacian, the bi-Laplacian, the Stekloff and the Wentzell-Laplacian of Riemannian manifolds. We shall also prove a new isoperimetric bound for lower order Dirichlet eigenvalues of the Laplacian on bounded domains in a Euclidean space which supports strongly an important conjecture of Ashbaugh-Benguria.

邀请人：毛井