Title	Hausdorff dimension and geometric finiteness in Hyperbolic spaces
Creator	Liu, Beibei
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-12-13T11:05
Description	Geometric finiteness is a nice property for an $n$-dimensional hyperbolic manifold, and one way to determine the geometric finiteness is to describe the limit set which consists of conical limit points and parabolic fixed points. On the other hand, the limit sets of geometrically infinite Kleinian groups contain infinitely many nonconical limit points. One can ask questions relating the measure-theoretic size of the limit set, conical limit set or non-conical limit set to the geometric finiteness. In this talk, we will review some existing results and conjectures about Kleinian groups with small Hausdorff dimension, and small critical exponents.
Extent	31.0 minutes
Subject	Mathematics; Group theory and generalizations; Geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California - Davis
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-06-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0391868
URI	http://hdl.handle.net/2429/74681
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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