English
Translation surfaces and dynamics on moduli spaces - part 2
Multi angle
Auteurs : Valdez, Ferrán (Auteur de la Conférence)
CIRM (Editeur )
20G15 - Linear algebraic groups over arbitrary fields
37E35 - Flows on surfaces
37F34 - Teichmüller theory; moduli spaces of holomorphic dynamical systems
CIRM (Editeur )
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Résumé :
In this course we give a proof of a central result in the theory of translation surfaces known as $Masur's$ $criterion$. The aim is to introduce the audience to the subject and illustrate how one can understand ergodic properties of the geodesic flow on an individual translation surface by studying the behaviour of its $SL(2,\mathbb{R})$-orbit on moduli space. The course is divided in 4 parts. Exercise sessions (TP) are also planned.
- Basic notions about translation surfaces.
- Moduli spaces of translation surfaces.
- Dynamical aspects of translation flows.
- Proof of Masur's criterion.
Keywords : translation surfaces; dynamics of geodesic flows
Codes MSC : - Basic notions about translation surfaces.
- Moduli spaces of translation surfaces.
- Dynamical aspects of translation flows.
- Proof of Masur's criterion.
Keywords : translation surfaces; dynamics of geodesic flows
20G15 - Linear algebraic groups over arbitrary fields
37E35 - Flows on surfaces
37F34 - Teichmüller theory; moduli spaces of holomorphic dynamical systems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Français Date de publication : 06/09/2024 Date de captation : 22/07/2024 Sous collection : Research School arXiv category : Dynamical Systems ; Metric Geometry ; Computational Complexity Domaine : Dynamical Systems & ODE ; Geometry Format : MP4 (.mp4) - HD Durée : 01:26:40 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-07-24_Valdez_2.mp4 
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Informations sur la Rencontre
Nom de la rencontre : An introduction to dynamics on surfaces and random walks / Géométrie et Dynamiques sur les surfacesOrganisateurs de la rencontre : Gaye, Masseye ; Quint, Jean-François Dates : 22/07/2024 - 26/07/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/3294.html
Données de citation
DOI : 10.24350/CIRM.V.20207903Citer cette vidéo: Valdez, Ferrán (2024). Translation surfaces and dynamics on moduli spaces - part 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20207903 URI : http://dx.doi.org/10.24350/CIRM.V.20207903 |
Voir aussi
- [Multi angle] Translation surfaces and dynamics on moduli spaces - part 3 / Auteur de la Conférence Valdez, Ferrán.
- [Multi angle] Geodesic flow on surfaces without conjugate points - part 3 / Auteur de la Conférence War, Khadim Mbacke.
- [Multi angle] Geodesic flow on surfaces without conjugate points - part 2 / Auteur de la Conférence War, Khadim Mbacke.
- [Multi angle] Topology of horocyclic flow on geometrically infinite surface - part 3 / Auteur de la Conférence Lo, Cheikh.
- [Multi angle] Random walks on groups - part 3 / Auteur de la Conférence Aoun, Richard.
- [Multi angle] Random walks on groups - part 2 / Auteur de la Conférence Aoun, Richard.
- [Multi angle] Geodesic flow on surfaces without conjugate points - part 1 / Auteur de la Conférence War, Khadim Mbacke.
- [Multi angle] Translation surfaces and dynamics on moduli spaces - part 1 / Auteur de la Conférence Valdez, Ferrán.
- [Multi angle] Topology of horocyclic flow on geometrically infinite surface - part 1 / Auteur de la Conférence Lo, Cheikh.
- [Multi angle] Topology of horocyclic flow on geometrically infinite surface - part 2 / Auteur de la Conférence Anonymous, A..
- [Multi angle] Random walks on groups - part 1 / Auteur de la Conférence Aoun, Richard.
Bibliographie
- ATHREYA, Jayadev S. et MASUR, Howard. Translation Surfaces. Graduate Studies in Mathematics 242. American Mathematical Society, 2024.195 p. -
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