On the scattering operators for Kahler-Einstein manifolds with strictly pseudoconvex CR-infinity

On the scattering operators for Kahler-Einstein manifolds with strictly pseudoconvex CR-infinity

-
Fang Wang, Shanghai Jiao Tong University
Fine Hall 314

I will talk about the positivity of scattering operators for Kahler-Einstein manifolds with strictly pseudoconvex CR-infinity which has positive Webster scalar curvature. The result is parallel to Guillarmou-Qing's positivity result for scattering operators for Poincare-Einstein manifolds.  I will also give an energy identity between the boundary and the interior.