Title	Prime ends theory in higher dimension
Creator	Gaussier, Herve
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-05T10:30
Description	This is a joint work with Filippo Bracci. We try to extend the Carath\'eodory prime ends theory in higher dimension, defining the "horosphere boundary" of complete hyperbolic (in the sense of Kobayashi) manifolds. We prove that a strongly pseudoconvex domain together with its horosphere boundary, endowed with the horosphere topology, is homeomorphic to its Euclidean closure, whereas the horosphere boundary of a polydisc is not even Hausdorff. As an application we study the boundary behaviour of univalent mappings.
Extent	46 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Potential theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université Grenoble Alpes
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320899
URI	http://hdl.handle.net/2429/59646
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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