题    目：Bartnik mass estimates and existence of horizons

主讲人：苗蓬子  教授

单    位：迈阿密大学

时    间：1月7日 16:00

地    点：学院南阶梯教室

摘    要：Given a metric，and a function serving as mean curvature，on a two-sphere, the associated Bartnik quasi-local mass can be defined as the infimum of the total mass of asymptotically flat            metrics in a suitable class of extensions of the given surface data. In general, the Bartnik mass is          difficult to  evaluate. In this talk, we review some previously known estimates and give a new lower    estimate of the Bartnik mass. We also discuss some implications of the estimates on the existence of horizons (closed minimal surfaces homologous to the boundary). Part of the talk is based on joint      work with Sehong Park.

简    介：苗蓬子，迈阿密大学教授，1998年本科毕业于北京大学，2003年博士毕业于斯坦福大学，研究方向主要涉及几何分析、数学广义相对论，在国际刊物发表学术论文60余篇。