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Structure of hyperbolic manifolds - Lecture 1
Post-edited
Authors : Purcell, Jessica (Author of the conference)
CIRM (Publisher )
57M25 - Knots and links in $S^3$
57M27 - Invariants of knots and 3-manifolds
57M50 - Geometric structures on low-dimensional manifolds
CIRM (Publisher )
Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 27/06/2018 Conference Date : 12/06/2018 Subseries : Research School arXiv category : Geometric Topology Mathematical Area(s) : Topology ; Geometry Format : MP4 (.mp4) - HD Video Time : 01:07:31 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2018-06-12_purcell_Part1.mp4 
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Information on the Event
Event Title : Jean-Morlet chair - Research school: 3-manifolds and geometric group theory / Chaire Jean-Morlet - École de recherche : 3-variétés et théorie géométrique des groupesEvent Organizers : Paoluzzi, Luisa ; Walsh, Genevieve Dates : 11/06/2018 - 15/06/2018 Event Year : 2018 Event URL : https://www.chairejeanmorlet.com/1905.html
Citation Data
DOI : 10.24350/CIRM.V.19415603Cite 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 |
See Also
- [Multi angle] Structure of hyperbolic manifolds - Lecture 3 / Author of the conference Purcell, Jessica.
- [Multi angle] Structure of hyperbolic manifolds - Lecture 2 / Author of the conference Purcell, Jessica.
Bibliography
- 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
