为了加强青年几何分析学者之间的交流和促进彼此的合作，我们邀请了来自国内三所著名高校的青年几何分析学者到中国人民大学信息学院，于2016年12月16日上午在中国人民大学信息楼0343召开为期半天的小组会议。欢迎有兴趣的师生参加！

此次会议不收取注册费，鉴于财力，食宿自理。

中国人民大学信息学院

邀请人：数学系 朱晓宝

Email: zhuxiaobao@amss.ac.cn

会议安排

第一个报告：刘佳伟（北京大学）

Time: 8:30~9:30

Place: 0343 room, Xinxi Building, RUC

Title: The conical K\"ahler-Ricci flow with weak initial data on Fano manifolds

Abstract: In this talk, I will show the long-time existence, uniqueness and regularity of the conical K\"ahler-Ricci flow with weak initial data which admits L^p-density for some p>1. Furthermore, I will talk about the convergence behavior of this flow on Fano manifolds. This is a joint work with professor Xi Zhang.

第二个报告：孙林林（中国科学技术大学）

Time: 9:35~10:35

Place: 0343 room, Xinxi Building, RUC

Title: Non existence of quasi-harmonic spheres

Abstract: In this talk, I will discuss the nonexistence of quasi-harmonic spheres from $R^m$ (m>2). We showed that there is no nonconstant quasi-harmonic sphere if the universal covering of the target manifold admits a positive strictly convex function which is of some exponential growth. This is a joint work with Prof. Li Jiayu.

第三个报告：陈传强（浙江工业大学）

Time: 10:40~11:40

Place: 0343 room, Xinxi Building, RUC

Title: The strict convexity of spacetime level sets of solutions to the heat equation in convex rings

Abstract: In this talk, we introduce the studies of convexity of solutions, especially the constant rank theorem method. By combining the constant rank theorem method with a deformation process, we can obtain the strict convexity of spacetime level sets of solutions to the heat equation in convex rings, when the initial data is spatially quasiconcave and subharmonic. This is a joint work with Prof. Xinan Ma and Paolo Salani.

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