题目:  Biholomorphically invariant curves and surfaces on the boundary of a strongly pseudoconvex domain in C^2.

报告人：郑日新教授 （台湾中研院数学所）

摘要:

I will talk about biholomorphically invariant curves and surfaces on the boundary of a strongly pseudoconvex domain in C^2. A distinguished class of such invariant curves satisfies a system of 2nd order ODEs, called chains in CR geometry. We interpret chains as geodesics of a Kropina metric in Finsler geometry. The associated energy functional of a curve on the boundary can be recovered as the log term coefficient in a weighted renormalized area expansion of a minimal surface that it bounds inside the domain. For surfaces, we express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry. We deduce the Euler-Lagrange equations of the associated energy functionals. Many solutions are given and discussed. In relation to the singular CR Yamabe problem, we show that one of the energy functionals appears as the coefficient (up to a constant multiple) of the log term in the associated volume renormalization.

时间: 2018年4月18日（周三）下午16:00-17:00

地点：首师大本部教二楼713教室

欢迎各位师生积极参加！