Scattering Operators for Poincar’e-Einstein Manifolds
主 题: Scattering Operators for Poincar’e-Einstein Manifolds
报告人: WANG Fang(SJTU)
时 间: 2016-04-26 10:10 - 2016-04-26 12:00
地 点: Room 29, Quan Zhai, BICMR
On Poincar\’e-Einstein manifolds the scattering operators, associated to the interior scalar Laplacian, define a meromorphic family of conformally covariant pseudo-differential operators. 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.