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On the length spectrum of random hyperbolic 3-manifolds
Multi angle
Authors : Roig Sanchis, Anna (Author of the conference)
CIRM (Publisher )
57K32 - Hyperbolic 3-manifolds
60C05 - Combinatorial probability
57K31 - Invariants of 3-manifolds (also skein modules; character varieties)
CIRM (Publisher )
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Abstract :
We are interested in studying the behavior of geometric invariants of hyperbolic 3-manifolds, such as the length of their geodesics. A way to do so is by using probabilistic methods. That is, we consider a set of hyperbolic manifolds, put a probability measure on it, and ask what is the probability that a random manifold has a certain property. There are several models of random manifolds. In this talk, I will explain one of the principal probabilistic models for 3 dimensions and I will present a result concerning the length spectrum - the set of lengths of all closed geodesics - of a 3-manifold constructed under this model.
Keywords : hyperbolic geometry; random geometry; probability theory
MSC Codes : Keywords : hyperbolic geometry; random geometry; probability theory
57K32 - Hyperbolic 3-manifolds
60C05 - Combinatorial probability
57K31 - Invariants of 3-manifolds (also skein modules; character varieties)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/10/2023 Conference Date : 03/10/2023 Subseries : Research talks arXiv category : Geometric Topology ; Data Structures and Algorithms Mathematical Area(s) : Combinatorics ; Geometry ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:51:59 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-10-03_roig_sanchis.mp4 
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Information on the Event
Event Title : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiensEvent Organizers : Curien, Nicolas ; Garcia-Failde, Elba ; Petri, Bram ; Singh, Arvind Dates : 02/10/2023 - 06/10/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2897.html
Citation Data
DOI : 10.24350/CIRM.V.20100003Cite this video as: Roig Sanchis, Anna (2023). On the length spectrum of random hyperbolic 3-manifolds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20100003 URI : http://dx.doi.org/10.24350/CIRM.V.20100003 |
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Bibliography
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