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H 2 Structure of hyperbolic manifolds - Lecture 1

Auteurs : Purcell, Jessica (Auteur de la Conférence)
CIRM (Editeur )

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hyperbolic 3-manifold hyperbolic space solid torus 3-manifold triangulation hyperbolic ideal tetrahedra and edge parameter gluing equations figure-8 knot complement questions from the audience

Résumé : In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in the 1970s, 80s, and 90s, but continue to have modern applications.

Codes MSC :
57M25 - Knots and links in $S^3$
57M27 - Invariants of knots and 3-manifolds
57M50 - Geometric structures on low-dimensional manifolds

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 27/06/2018
    Date de captation : 12/06/2018
    Sous collection : Research School
    arXiv category : Geometric Topology
    Domaine : Topology ; Geometry
    Format : MP4 (.mp4) - HD
    Durée : 01:07:31
    Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2018-06-12_purcell_Part1.mp4

Informations sur la rencontre

Nom de la rencontre : Jean-Morlet chair - Research school: 3-manifolds and geometric group theory / Chaire Jean-Morlet - École de recherche : 3-variétés et théorie géométrique des groupes
Organisateurs de la rencontre : Paoluzzi, Luisa ; Walsh, Genevieve
Dates : 11/06/2018 - 15/06/2018
Année de la rencontre : 2018
URL Congrès : https://www.chairejeanmorlet.com/1905.html

Citation Data

DOI : 10.24350/CIRM.V.19415603
Cite this video as: Purcell, Jessica (2018). Structure of hyperbolic manifolds - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19415603
URI : http://dx.doi.org/10.24350/CIRM.V.19415603

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