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New non-elliptic methods in the analysis of conformally compact (asymptotically hyperbolic) spaces
December 06, 2010
I explain a new way of doing scattering theory for the Laplacian on Riemannian conformally compact spaces, including non-trapping high energy bounds for the analytic continuation of the resolvent in appropriate circumstances, by appropriately extending the problem to a larger space. The resulting problems are non-elliptic, but fit into a very nice microlocal framework on manifolds without boundary, so the tools are very transparent. The microlocal machinery being used is also very useful in many other settings, some of which will be briefly discussed.
MSRI: Baker Board Room
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