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Coupled rotations and snow falling on cedars
Post-edited
Authors : McMullen, Curtis T. (Author of the conference)
CIRM (Publisher )
30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]
30F30 - Differentials on Riemann surfaces
CIRM (Publisher )
Abstract :
We study cascades of bifurcations in a simple family of maps on the circle, and connect this behavior to the geometry of an absolute period leaf in genus $2$. The presentation includes pictures of an exotic foliation of the upper half plane, computed with the aid of the Möller-Zagier formula.
MSC Codes : 30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]
30F30 - Differentials on Riemann surfaces
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/07/15 Conference Date : 07/07/15 Series : The Fields Medallists Subseries : Research talks arXiv category : Algebraic Geometry ; Dynamical Systems Mathematical Area(s) : Number Theory ; Algebraic & Complex Geometry ; Dynamical Systems & ODE Format : QuickTime (.mov) Video Time : 01:13:10 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-07-07_McMullen.mp4 
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Information on the Event
Event Title : Dynamics and geometry in the Teichmüller space / Dynamique et géométrie dans l'espace de TeichmüllerEvent Organizers : Hubert, Pascal ; Lanneau, Erwan ; Zorich, Anton Dates : 06/07/15 - 10/07/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1115.html
Citation Data
DOI : 10.24350/CIRM.V.18788203Cite this video as: McMullen, Curtis T. (2015). Coupled rotations and snow falling on cedars. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18788203 URI : http://dx.doi.org/10.24350/CIRM.V.18788203 |
Bibliography
- McMullen, C.T. (2015). Cascades in the dynamics of measured foliations. Annales Scientifiques de l'École Normale Supérieure, série 4, 48(1), 1-39 - http://smf4.emath.fr/en/Publications/AnnalesENS/4_48/html/ens_ann-sc_48_1-39.php
- McMullen, C.T. (2014). Moduli spaces of isoperiodic forms on Riemann surfaces. Duke Mathematical Journal, 163(12), 2271-2323 - http://dx.doi.org/10.1215/00127094-2785588
- Möller, M., & Zagier, D. (2015). Modular embeddings of Teichmueller curves.
