Conformally covariant operators and scattering theory

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Eyal Subag, Nigel Higson, Mathieu Stiénon.

Speaker: Jeffrey Case, Penn State

Abstract: Using scattering theory on Poincare--Einstein manifolds, Graham and Zworski defined a family of conformally covariant pseudodifferential operators on the boundary with principal symbol that of fractional powers of the Laplacian. I will present an equivalent characterization of these operators as Dirichlet-to-Neumann operators. As an application, I will establish a new sharp Sobolev trace inequality for traces of functions in W^{2,2}.

Room Reservation Information

Room Number: 106 McAllister

Date: 09/27/2016

Time: 2:35pm - 3:30pm