Structure of hyperbolic manifolds - Lecture 2 | Vidéo | Carmin.tv

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Structure of hyperbolic manifolds - Lecture 2

By Jessica Purcell

Appears in collection : Jean-Morlet chair - Research school: 3-manifolds and geometric group theory / Chaire Jean-Morlet - École de recherche : 3-variétés et théorie géométrique des groupes

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.

Information about the video

Date of recording 13/06/2018
Date of publication 27/06/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19415803
Cite this video Purcell, Jessica (13/06/2018). Structure of hyperbolic manifolds - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19415803
URL https://dx.doi.org/10.24350/CIRM.V.19415803

Domain(s)

Geometric Topology

Bibliography

Futer, D., Kalfagianni, E., & Purcell, J.S. (2017). A survey of hyperbolic knot theory. <arXiv:1708.07201> - https://arxiv.org/abs/1708.07201
Purcell, J.S. (2018). Hyperbolic knot theory. Textbook draft - http://users.monash.edu/~jpurcell/hypknottheory.html

MSC codes

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