BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Resolvent and Wave trace of Asymptotically Complex Hyperbolic Manifolds Quan, Hadrian


In this talk I will report on continuing work about the spectral geometry of asymptotically complex hyperbolic manifolds. This class of non-compact spaces contain as examples certain quotients of complex hyperbolic space, as well as pseudoconvex domains in Stein manifolds. My focus will be on the resolvent and wave kernel, and how the behavior of closed geodesics in the interior can influence these spectral invariants. Our study of these operators will include discussion of different techniques in microlocal analysis, including radial estimates, complex absorption, and a Fourier Integral Operator calculus modeled on the Theta-calculus of pseudodifferential operators introduced by Epstein-Mendoza-Melrose.

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