中科院国家数学与交叉科学中心
数学与物理交叉部
学术报告会
题 目：Scattering operators for Poincar\’e-Einstein manifolds
报告人： 王 芳 教授（上海交通大学数学科学学院）
时 间：2016.05.24 (星期二), 10:00--11:00
地 点：数学院南楼N913室
摘要:
On Poincar\’e-Einstein manifolds the scattering operators, associated to the interior scalar Laplacian, define a meromorphic family of conformally covariant pseudo-differential operators on the boundary. Here I will mainly talk about the relationship between the positivity of the scattering operators and the positivity of the conformal geometry at the boundary, as well as some boundary-to-interior theorems.