Scattering Operators for Poincar\’e-Einstein Manifolds
Time: 2016-10-25
Published By: Ningbo Lu
Speaker(s): WANG Fang(SJTU)
Time: 10:10-12:00 April 26, 2016
Venue: 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.