Canal-U

Mon compte

Résultats de recherche

Nombre de programmes trouvés : 24158
Cours magistraux

le (1h9m14s)

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 1)

I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it.  Then I will describe Thurston's compactification of Teichmuller space, and state his classification theorem.  After that, I will focus on pseudo-Anosov homeomorphisms, describe a little bit about their dynamics, and discuss the geometry/dynamics of the associated mapping tori.
Voir la vidéo
Cours magistraux

le (1h8m38s)

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 2)

I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification theorem. After that, I will focus on pseudo-Anosov homeomorphisms, describe a little bit about their dynamics, and discuss the geometry/dynamics of the associated mapping tori.
Voir la vidéo
Cours magistraux

le (1h7m5s)

S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 1)

1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket2. Topology: Arnoux - Yoccoz example and its generalization3. Novikov’s problem: how dynamics meets topology and together they help to physics4. Lyapunov exponents for the Rauzy gasket: what do we know about them5. Multidimensional fraction algorithms: why do they care6. Open problem session (sometimes, say, more than 30 years open!)
Voir la vidéo
Cours magistraux

le (1h12m0s)

A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 2)

In  the  first two lectures I will try to tell (or, rather, to  give  an  idea)  of  how  Maryam Mirzakhani has counted simple  closed  geodesics on hyperbolic surfaces. I plan to briefly  mention her count of Weil-Peterson volumes and her proof of Witten's conjecture, but only on the level of some key ideas.In the last lecture I plan to show how ideas of Mirzakhani work in counting problems related to flat surfaces, namely, in computation of Masur-Veech volumes and in counting meanders.
Voir la vidéo
Conférences

le (57m36s)

C. Judge - Systoles in translation surfaces

I will discuss joint work with Hugo Parlier concerning the shortest noncontractible loops—’systoles’—in a translation surface. In particular, we provide estimates (some sharp) on the number of systoles (up to homotopy) in the strata H(2g-2) and the stratum H(1,1).  We also determine the maximum systolic ratio (length squared/area) in H(2g-2), and we give a conjectural value for maximum systolic ratio in H(1,1).
Voir la vidéo

 
FMSH
 
Facebook Twitter
Mon Compte