New non-elliptic methods in the analysis of the Laplacian on conformally compact (asymptotically hyperbolic) spaces
Seminar Room 1, Newton Institute
I will explain how to analyze the resolvent of the Laplacian on conformally compact spaces by transforming the spectral family to a family of operators on a compact manifold without boundary. One easy consequence of this approach is high energy estimates for the resolvent, uniform in strips, which are crucial, for instance, for understanding the decay of waves. The methods involved are also applicable in many other settings.