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Introduction to Thurston's theorems

By John H. Hubbard

Appears in collection : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe

W. Thurston's theorems almost all aim to give a purely topological problem an appropriate geometry, or to identify an appropriate obstruction.. We will illustrate this in two examples: --The Thurston pullback map to make a rational map from a post-critically finite branched cover of the sphere, and --The skinning lemma, to find a hyperbolic structure for a Haken 3-manifold. In both cases, either the relevant map on Teichmüller space has a fixed point, solving the geometrization problem, or there is an obstruction consisting a multicurve.

Information about the video

Date of recording 20/09/2021
Date of publication 02/11/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19812603
Cite this video Hubbard, John H. (20/09/2021). Introduction to Thurston's theorems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19812603
URL https://dx.doi.org/10.24350/CIRM.V.19812603

Domain(s)

Bibliography

Hubbard, Teichmüller theory vols 1-4, Matrix editions -

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