Translation surfaces and dynamics on moduli spaces - part 3 | Vidéo | Carmin.tv

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Translation surfaces and dynamics on moduli spaces - part 3

De Ferrán Valdez

Apparaît dans la collection : An introduction to dynamics on surfaces and random walks / Géométrie et Dynamiques sur les surfaces

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.

Informations sur la vidéo

Date de captation 22/07/2024
Date de publication 06/09/2024
Institut CIRM
Licence CC BY NC ND
Langue Français
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20208003
Citer cette vidéo Valdez, Ferrán (22/07/2024). Translation surfaces and dynamics on moduli spaces - part 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20208003
URL https://dx.doi.org/10.24350/CIRM.V.20208003

Domaine(s)

Bibliographie

ATHREYA, Jayadev S. et MASUR, Howard. Translation Surfaces. Graduate Studies in Mathematics 242. American Mathematical Society, 2024.195 p. -

Codes MSC

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