Title	Witten Laplacians and Pollicott-Ruelle spectrum
Creator	Riviere, Gabriel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-18T09:00
Description	Given a smooth Morse function and a Riemannian metric on a compact manifold, Witten defined a semiclassical operator which is now referred as the Witten Laplacian. In light of the recent developpement towards the spectral analysis of hyperbolic dynamical systems, I will discuss some well-known properties and some new ones of these Witten Laplacians. Namely, I will explain that the spectrum of these operators converges in the semiclassical limit to the so-called Pollicott-Ruelle spectrum. This is a joint work with N.V. Dang (Univ. Lyon 1).
Extent	56.0
Subject	Mathematics; Quantum theory; Global analysis, analysis on manifolds; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universite Lille
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376842
URI	http://hdl.handle.net/2429/68676
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Other
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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