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SUMMARY:New non-elliptic methods in the analysis of the Laplacian on confo
 rmally compact (asymptotically hyperbolic) spaces - Vasy\, A (Stanford Uni
 versity)
DTSTART:20110803T110000Z
DTEND:20110803T114500Z
UID:TALK32229@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will explain how to analyze the resolvent of the Laplacian o
 n conformally compact spaces by transforming the spectral family to a fami
 ly of operators on a compact manifold without boundary. One easy consequen
 ce of this approach is high energy estimates for the resolvent\, uniform i
 n strips\, which are crucial\, for instance\, for understanding the decay 
 of waves. The methods involved are also applicable in many other settings.
 \n
LOCATION:Seminar Room 1\, Newton Institute
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