Two ways to find holomorphic curves in K ahler surfaces
主 题: Two ways to find holomorphic curves in K ahler surfaces
报告人: 李嘉禹 教授 (中国科学院数学研究所)
时 间: 2010-03-19 14:00 - 15:00
地 点: 理科一号楼 1114（数学所活动）
Let $M$ be a K\"ahler surface and $\Sigma$ be a closed real
surface smoothly immersed in $M$. Let $\alpha$ be the K\"ahler
angle of $\Sigma$ in $M$. If $\cos\alpha>0$, we say $\Sigma$ is a
symplectic surface. We study the problem "{\it whether there is a
holomorphic curve in the homotopy class of a symplectic surface}".
In the talk we will present two approaches to the problem, one is
the mean curvature flow method, another one is the variational
approach.
