Title	A Cheeger-Muller theorem for manifolds with cusps
Creator	Sher, David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-14T11:00
Description	The Cheeger-Muller theorem, first conjectured by Ray and Singer in 1973, gives equality between the analytic torsion and the Reidemeister torsion on a Riemannian manifold equipped with a flat Euclidean vector bundle. We prove a version of the Cheeger-Muller theorem on manifolds with cusp singularities. The proof uses geometric microlocal analysis techniques pioneered by Melrose, in particular the method of analytic surgery: we consider a family of smooth manifolds which degenerate to a manifold with cusps and study the behavior of the torsion under this degeneration. This is joint work with P. Albin (UIUC) and F. Rochon (UQAM).
Extent	26 minutes
Subject	Mathematics; Geometry; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Michigan
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348236
URI	http://hdl.handle.net/2429/61937
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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