Title	Spectral densification for hyperbolic surfaces
Creator	Dyatlov, Semyon
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-16T09:00
Description	Let M_t, t\neq 0 be a family of compact hyperbolic surfaces which as t\to 0 degenerates to a surface M_0 with two cusps, via pinching a neck. We show a quantization condition for eigenvalues of the Laplacian on M_t in compact subsets of (1/4, \infty), with the subprincipal term determined from the scattering matrix of M_0. We use the Lefschetz fibration model for the degeneration and its metric resolution due to Melrose-Zhu. This is work in progress joint with Richard Melrose.
Extent	56 minutes
Subject	Mathematics; Geometry; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Massachusetts Institute of Technology
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348277
URI	http://hdl.handle.net/2429/61978
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

Open Collections

BIRS Workshop Lecture Videos