题目：Classification for expanding and shrinking gradient Kahler-Ricci solitons

报告人：Shijin Zhang(Beihang University)

Abstract : In this series talk, I will talk about the paper "Classification results for expanding and shrinking gradient Kahler-Ricci solitons (short for GKRS)" by R. J. Conlon, A. Deruelle and S. Sun, see ArXiv: 1904.00147v1. （1）They first show that a Kahler cone appears as the tangent cone of a complete expanding gradient Kahler-Ricci soliton with quadratic curvature decay with derivatives if and only if it has a smooth canonical model. As an application, they classified 2-dim complete expanding GKRS with quadratic curvature decay with derivatives.

（2）Then then show that any 2-dim complete shrinking GKRS whose scalar curvature tends to zero at infinity is either the flat metric on $/mathbb{C}^{2}$ or the $U(2)$-invariant shrinking GKRS of Feldman-Ilmanen-Knopf on the blowup of $/mathbb{C}^{2}$ at one point. (3) They also show that the only complete shrinking GKRS with quadratic curvature decay on $/mathbb{C}^{n}$ is the flat metric and on the total space of $/mathcal{O}(-k)/rightarrow /mathbb{P}^{n-1}$ for $0<k<n$ is the $U(n)$-invariant shrinking GKRS of Feldman-Ilmanen-Knopf.

时间：7月3、5日下午13:30-15:30

7月9、11日上午9:30-11:30

地点：565net必赢客户端本部教二楼 610 教室

联系人：张振雷

欢迎全体师生积极参加！