Date: November 8, 2019
Venue: Conference Room, 3rd floor， Nanhai Building
Topic 1：Estimates for Higher Steklov Eigenvalues
Abstract：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.
Speaker：Prof. Yu Chengjie, from Shantou University
Topic 2：On limit behavior of quasi-local mass for ellipsoidsat spatial infinity
Abstract：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.
Speaker：Prof. Xie Naqing, from Fudan University
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