Extremal Metrics for the Spectrum of the Laplacian on Closed Manifolds
发布时间：2018年07月04日
浏览次数：6530
发布者: He Liu
主讲人： Yannick Sire (Johns Hopkins University)
活动时间： 从 2018-07-11 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
I will report on a program in proving existence and isoperimetric inequalities for extremal metrics in conformal classes for the eigenvalues of the Laplace-Beltrami on surfaces, with a particular emphasis on the case of the 2-sphere. then I will move on to higher dimensional versions where the laplacian is replaced by the conformal laplacian. In this case several striking phenomena occur. I will mention several open problems and directions of research, involving in particular complex geometry.
