English
Structure of hyperbolic manifolds - Lecture 1
Post-edited
Auteurs : Purcell, Jessica (Auteur de la Conférence)
CIRM (Editeur )
57M25 - Knots and links in $S^3$
57M27 - Invariants of knots and 3-manifolds
57M50 - Geometric structures on low-dimensional manifolds
CIRM (Editeur )
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
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : 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 : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2018-06-12_purcell_Part1.mp4 
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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 groupesOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.19415603Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Structure of hyperbolic manifolds - Lecture 3 / Auteur de la Conférence Purcell, Jessica.
- [Multi angle] Structure of hyperbolic manifolds - Lecture 2 / Auteur de la Conférence Purcell, Jessica.
Bibliographie
- Futer, D., Kalfagianni, E., & Purcell, J.S. (2017). A survey of hyperbolic knot theory.
- Purcell, J.S. (2018). Hyperbolic knot theory. Textbook draft - http://users.monash.edu/~jpurcell/hypknottheory.html
