Title	Resolvent and Wave trace of Asymptotically Complex Hyperbolic Manifolds
Creator	Quan, Hadrian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-05-18T18:00
Description	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.
Extent	53.0 minutes
Subject	Mathematics; Global Analysis; Analysis On Manifolds; Differential Geometry; Geometric Analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Illinois Urbana-Champaign
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2023-10-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437348
URI	http://hdl.handle.net/2429/86339
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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

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