Title	Eigenvalue and heat trace asymptotics for drifting Laplacians
Creator	Rowlett, Julie
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-12T16:30
Description	This talk is based on joint work with Nelia Charalambous, in which we consider the spectra of drifting (aka weighted or Bakry-Émery) Laplace operators on Riemannian manifolds. We shall discuss eigenvalue estimates and Weyl's law in this setting. The proof of Weyl's law is via the short time asymptotic expansion of the heat trace, and so we will discuss this expansion. In this work, we assume only finite regularity of the weight function, and we shall see that the behavior of the short time asymptotics of the heat trace determines, and conversely is determined by the regularity of the weight function.
Extent	49 minutes
Subject	Mathematics; Geometry; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Chalmers University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348224
URI	http://hdl.handle.net/2429/61925
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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