Title：Kahler-Ricci flow on Fano bundles

Speaker：张世金 教授 （北京航空航天大学数学与系统科学学院）

Time：2018年6月7日（周四）   下午 16:30-17:30

Room：东区管理科研楼  数学科学学院1418室

Abstract：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 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. In the talk, I will aim to talk about in the case of product manifolds. This is a joint work with Xin Fu.