題目一：Estimates for Higher Steklov Eigenvalues

内容簡介：In this talk, I will give a survey on estimates of Steklov eigenvalues. Some of our works on estimates of higher Steklov eigenvalues, especially for differential forms, will be presented.

報告人：汕頭大學  餘成傑  教授

題目二：On limit behavior of quasi-local mass for ellipsoids at spatial infinity

内容簡介：We discuss the spatial limit of the quasi-local mass for certain ellipsoids in an asymptotically flat static spherically symmetric spacetime. These ellipsoids are not nearly round but they are of interest as an admissible parameterized foliation defining the Arnowitt-Deser-Misner (ADM) mass. The Hawking mass of this family of ellipsoids tends to infinity. In contrast, we show that the Hayward mass converges to a finite value. Moreover, a positive mass type theorem is established. The limit of the mass has a uniform positive lower bound no matter how oblate these ellipsoids are. This result could be extended for asymptotically Schwarzschild manifolds. This talk is based on a joint work with Xiaokai He and Leong-Fai Wong.

報告人：複旦大學  謝納慶  教授

時  間：2019年11月8日（周五）晚上7：00始

地  點：南海樓三樓數學系師生研讨室

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2019年11月6日