Title	Quasi-fibered boundary pseudodifferential operators
Creator	Rochon, Frédéric
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-05-20T17:00
Description	Quasi-fibered boundary (QFB) metrics form a natural class of complete metrics generalizing the quasi-asymptotically locally Euclidean (QALE) metrics of Joyce. After recalling what those metrics are, I will explain how to construct a suitable pseudodifferential calculus containing good parametrices for operators like the Hodge-deRham operator of a QFB metric, allowing us to show that they are Fredholm when acting on suitable Sobolev spaces and yielding results about the decay of L2 harmonic forms. This in turn can be used to study the reduced L2 cohomology of some QFB metrics. This is a joint work with Chris Kottke.
Extent	51.0 minutes
Subject	Mathematics; Global Analysis; Analysis On Manifolds; Differential Geometry; Geometric Analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université du Québec à Montréal
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2023-10-27
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437364
URI	http://hdl.handle.net/2429/86350
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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