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，我们邀请了来自中科大、北大、中科院数学所的5位青年几何分析学者到中国人民大学信息学院，于2016年12月31日在中国人民大学第四公共教学楼4203召开为期一天的小组会议。欢迎有兴趣的师生前来参加！

此次会议不收取注册费，鉴于财力，住宿费和交通费自理。

中国人民大学信息学院

邀请人：数学系 杨云雁、朱晓宝

联系电话：13426305552

Email: zhuxiaobao@amss.ac.cn

会议安排

上午：学生报告文章 下午：青年学者专题演讲

上午第一个报告：周杰（中科院数学所）

Time: 8:30~9:30

Place: 4203 room, the 4th Teaching Building(四教), RUC

Title: L^\infinity estimate for conformal immersed surface in R^n with small energy

上午第二个报告：孙建新（中科院数学所）

Time: 9:35~10:35

Place: 4203 room, the 4th Teaching Building(四教), RUC

Title: The extension problem of the mean curvature flow (I).

茶歇：10:35~11:00

上午第三个报告：周志鹏（中科院数学所）

Time: 11:00~12:00

Place: 4203 room, the 4th Teaching Building(四教), RUC

Title: Closed Riemannian manifolds in a fixed conformal class with bounded ||R||_{L^p}

12:00~13:30 午饭、午休

下午第一个报告：刘佳伟（北京大学）

Time:13:30~14:30

Place: 4203 room, the 4th Teaching Building(四教), RUC

Title: Cusp K\"ahler-Ricci flows on K\"ahler manifolds

Abstract: In this report, I will talk about the long-time existence and uniqueness of cusp K\"ahler-Ricci flows on K\"ahler manifold M which carries a smooth divisor D such that the twisted canonical bundle K_M+D is ample. Furthermore, we prove that this flow converge to the unique cusp K\"ahler-Einstein metric.

茶歇：14:30~14:45

下午第二个报告：刘世平（中科大）

Time:14:45~15:45

Place: 4203 room, the 4th Teaching Building(四教), RUC

Title: Ricci curvature and eigenvalue estimates for discrete and continuous magnetic Laplacian

Abstract: We present Lichnerowicz type estimates and (higher order) Buser type estimates for the magnetic Laplacian on discrete graphs with signatures and on closed Riemannian manifolds with magnetic potentials. These results relate eigenvalues, magnetic fields, Ricci curvature and Cheeger type constants. This is based on joint work with Michela Egidi,

Florentin M\"unch, and Norbert Peyerimhoff.

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