学术报告

Kahler-Ricci Flow on Fano Bundles

阅读次数:757

题目:Kahler-Ricci Flow on Fano Bundles
报告人:张世金 博士 (北京航空航天大学)
地点:宁静楼 104 室
时间:2019年03月27日 16:00-17:00
摘要:In this talk, I first recalled some knowledge of the Kahler-Ricci flow. Then I will talk about the behavior of the Kahler-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 kahler 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.

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