Generalized Kaehler-Einstein metrics on Riemann surfaces and applications
发布人: 曹思圆   发布时间: 2018-10-22   浏览次数: 39

报告人:张雅山博士(北京大学北京国际数学研究中心)

报告时间:10月25日周四,下午1-2点

报告地点:4教414


Abstract: In this talk, we plan to discuss Song-Tian's (possibly singular) generalized Keahler-Einstein metric on the canonical models of projective manifolds with semi-ample canonical line bundle. When the canonical model is one dimensional (i.e. a Riemann surface), we give the metric asymptotics of the generalized Kaehler-Einstein metric near its singular points, implying a special case of a conjecture of Song and Tian. Then we present some applications of this result in studying infinite-time singularities of the Kaehler-Ricci flow.