几何分析讨论班——Kahler-Ricci flow on Fano bundles
主 题: 几何分析讨论班——Kahler-Ricci flow on Fano bundles
报告人: 张世金教授 (北京航空大学)
时 间: 2016-10-28 10:10-12:00
地 点: 理科一号楼 1114
In this talk, I will talk about the behavior of the K\"ahler-Ricci flow on some Fano bundles which is a trivial bundle on one Zariski open set. We show that if the fiber is $\mathbb{P}^{m}$ blown up at one point or some weighted projective space blown up at the orbifold point and the initial metric is in a suitable k\"ahler class, then the fibers collapse in finite time and the metrics converge sub-sequentially in Gromov-Hausdorff sense to a metric on the base. This a joint work with Xin Fu.
