Translation surfaces and dynamics on moduli spaces - part 1 | Vidéo | Carmin.tv

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Translation surfaces and dynamics on moduli spaces - part 1

By Ferrán Valdez

Appears in 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.

Information about the video

Date of recording 22/07/2024
Date of publication 06/09/2024
Institution CIRM
Licence CC BY NC ND
Language French
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20207103
Cite this video Valdez, Ferrán (22/07/2024). Translation surfaces and dynamics on moduli spaces - part 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20207103
URL https://dx.doi.org/10.24350/CIRM.V.20207103

Domain(s)

Bibliography

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

MSC codes

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