Kahler-Ricci flow on Fano bundles
报告题目(Title)： Kahler-Ricci flow on Fano bundles
报告人(Speaker)：张世金 (北京航空航天大学)
地点(Place)：后主楼 1220室
时间(Time)： 2019年5月21日(周二) 上午11:00-12:00
邀请人(Inviter)：彦文娇
报告摘要
In this talk,I first recalled some knowledge of the Kahler-Ricci flow. Then 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.
主讲人简介
张世金，北京航空航天大学讲师、硕士生导师。2001-2005，南开大学数学试点班; 2005-2010，南开大学陈省身数学所博士，师从方复全院士; 2010-2012 北京大学国际数学中心做博士后，合作导师朱小华。主要研究领域为Kaehler-Ricci流和gradient shrinking (Kahler-)Ricci solitons，在Trans.AMS, Math. Z, Ann. Glob. Anal. Geom., Pacific.J. Math, Proceedings AMS等国际著名数学期刊上发表论文11篇。
