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Billiards and number theory
Multi angle
Authors : McMullen, Curtis T. (Author of the conference)
CIRM (Publisher )
Additional resources :
www.math.harvard.edu/~ctm/home/text/talks/luminy/23/slides.pdf
CIRM (Publisher )
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Abstract :
The dynamics of billiards in a regular polygon can be studied from a wide range of mathematical perspectives. In this talk we will discuss connections between periodic billiard paths and number theory, modular symbols, heights and Hilbert modular varieties. In particular we will describe a new form of arithmetic chaos that emerges from dynamics in the regular 12-gon.
MSC Codes : Additional resources :
www.math.harvard.edu/~ctm/home/text/talks/luminy/23/slides.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 22/12/2023 Conference Date : 04/12/2023 Series : The Fields Medallists Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Dynamical Systems & ODE ; Algebraic & Complex Geometry ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:11:50 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-12-04_McMullen.mp4 
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Information on the Event
Event Title : Jean Morlet Chair - Conference - Renormalization and Visualization in Geometry, Dynamics and number theory / Chaire Jean-Morlet - Conférence - Renormalisation et visualisation en géométrie, dynamique et théorie des nombresEvent Organizers : Athreya, Jayadev ; Bedaride, Nicolas Dates : 04/12/2023 - 08/12/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2798.html
Citation Data
DOI : 10.24350/CIRM.V.20117003Cite this video as: McMullen, Curtis T. (2023). Billiards and number theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20117003 URI : http://dx.doi.org/10.24350/CIRM.V.20117003 |
See Also
- [Multi angle] On Novikov's problem for foliations of surfaces and interval exchange transformations with flips / Author of the conference Hubert, Pascal.
- [Multi angle] Shear coordinates of Weil-Petersson circle homeomorphisms / Author of the conference Wang, Yilin.
- [Multi angle] Connectivity of Markoff mod-p graphs / Author of the conference Fuchs, Elena.
- [Multi angle] Classification of mapping classes of infinite-type surfaces / Author of the conference Fanoni, Federica.
- [Multi angle] Renormalisation via continued fractions in symbolic dynamics / Author of the conference Berthé, Valérie.
Bibliography
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