2018

évènement
Mise en ligne : 06 juillet 2018
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A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 3)

Vidéos

A. Wright - Mirzakhani's work on Earthquakes (Part 3)
Cours/Séminaire
01:01:21
A. Wright - Mirzakhani's work on Earthquakes (Part 3)
Wright
Alexander

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no

A. Wright - Mirzakhani's work on Earthquakes (Part 2)
Cours/Séminaire
01:11:30
A. Wright - Mirzakhani's work on Earthquakes (Part 2)
Wright
Alexander

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no

A. Wright - Mirzakhani's work on Earthquakes (Part 1)
Cours/Séminaire
01:03:16
A. Wright - Mirzakhani's work on Earthquakes (Part 1)
Wright
Alexander

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no

J. Smillie - Horocycle dynamics (Part 2)
Cours/Séminaire
01:02:14
J. Smillie - Horocycle dynamics (Part 2)

A major challenge in dynamics on moduli spaces is to understand the behavior of the horocycle flow. We will motivate this problem and discuss what is known and what is not known about it, focusing on

S.Schleimer - An introduction to veering triangulations
Conférence
01:03:19
S.Schleimer - An introduction to veering triangulations

Singular euclidean structures on surfaces are a key tool in the study of the mapping class group, of Teichmüller space, and of kleinian three-manifolds.  François Guéritaud, while studying work of Ian

C. Matheus - Square tiled surfaces (Part 2)
Cours/Séminaire
01:03:48
C. Matheus - Square tiled surfaces (Part 2)
Matheus
Carlos

a) basic definitions and examples b) strata and genus c) reduced and primitive origamis, SL(2,R) action, Veech groups d) automorphisms and affine homeomorphisms e) homology of origamis f) Kontsevich

L. Liechti - Minimal dilatations on nonorientable surfaces
Conférence
01:00:15
L. Liechti - Minimal dilatations on nonorientable surfaces

We discuss the problem of finding the minimal dilatation among pseudo-Anosov mapping classes on a fixed closed surface. In particular, for every nonorientable closed surface of even genus, we consider

C.Fougeron - Diffusion rate for windtree models
Conférence
00:52:59
C.Fougeron - Diffusion rate for windtree models
Fougeron
Charles

Recent results on windtree models with polygonal obstacles have linked their diffusion rate with Lyapunov exponents in stata of quadratic differentials.  The proves of these theorems follow from the

S. Filip - K3 surfaces and Dynamics (Part 1)
Cours/Séminaire
01:00:37
S. Filip - K3 surfaces and Dynamics (Part 1)
Simion
Filip

K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamics. I hope to discuss: Basic definitions and examples - Geometry (algebraic, differential, etc.) of

D. Davis - Periodic paths on the pentagon
Conférence
00:53:08
D. Davis - Periodic paths on the pentagon
Davis
Diana

Mathematicians have long understood periodic trajectories on the square billiard table. In the present work, we describe periodic trajectories on the regular pentagon – their geometry, symbolic

J. Aramayona - MCG and infinite MCG (Part 3)
Cours/Séminaire
01:28:27
J. Aramayona - MCG and infinite MCG (Part 3)
Aramayona
Javier

The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston

J. Aramayona - MCG and infinite MCG (Part 2)
Cours/Séminaire
01:04:43
J. Aramayona - MCG and infinite MCG (Part 2)
Aramayona
Javier

The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston

P. Apisa - Marked points in genus two and beyond
Conférence
00:58:04
P. Apisa - Marked points in genus two and beyond

In the principal stratum in genus two, McMullen observed that something odd happens - there is only one nonarithmetic Teichmuller curve - the one generated by the decagon.  This strange phenomenon

O. Paris-Romaskevich - Triangle tiling billiards
Conférence
00:59:44
O. Paris-Romaskevich - Triangle tiling billiards
Paris-Romaskevich
Olga

Tiling billiards is a dynamical system in which a billiard ball moves through the tiles of some fixed tiling in a way that its trajectory is a broken line, with breaks admitted only at the boundaries

R. Santharoubane - Quantum representations of surface groups
Conférence
00:57:16
R. Santharoubane - Quantum representations of surface groups
Santharoubane
Ramanujan Harischandra

I will show how we can produce exotic representations of surface groups from the Witten-Reshetikhin-Turaev TQFT. These representations have infinite images and give points on character varieties that

C. Judge - Systoles in translation surfaces
Conférence
00:57:35
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

B. Weiss - Horocycle dynamics (Part 2)
Cours/Séminaire
01:00:37
B. Weiss - Horocycle dynamics (Part 2)
Weiss
Barak

A major challenge in dynamics on moduli spaces is to understand the behavior of the horocycle flow. We will motivate this problem and discuss what is known and what is not known about it, focusing on

B. Weiss - Horocycle dynamics (Part 1)
Cours/Séminaire
01:30:17
B. Weiss - Horocycle dynamics (Part 1)
Weiss
Barak

A major challenge in dynamics on moduli spaces is to understand the behavior of the horocycle flow. We will motivate this problem and discuss what is known and what is not known about it, focusing on

J. Smillie - Horocycle dynamics (Part 1)
Cours/Séminaire
01:29:10
J. Smillie - Horocycle dynamics (Part 1)

A major challenge in dynamics on moduli spaces is to understand the behavior of the horocycle flow. We will motivate this problem and discuss what is known and what is not known about it, focusing on

C. Matheus - Square tiled surfaces (Part 3)
Cours/Séminaire
01:18:10
C. Matheus - Square tiled surfaces (Part 3)
Matheus
Carlos

a) basic definitions and examples b) strata and genus c) reduced and primitive origamis, SL(2,R) action, Veech groups d) automorphisms and affine homeomorphisms e) homology of origamis f) Kontsevich

C. Matheus - Square tiled surfaces (Part 1)
Cours/Séminaire
01:05:49
C. Matheus - Square tiled surfaces (Part 1)
Matheus
Carlos

a) basic definitions and examples b) strata and genus c) reduced and primitive origamis, SL(2,R) action, Veech groups d) automorphisms and affine homeomorphisms e) homology of origamis f) Kontsevich

S. Filip - K3 surfaces and Dynamics (Part 3)
Cours/Séminaire
01:01:17
S. Filip - K3 surfaces and Dynamics (Part 3)
Simion
Filip

K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamics. I hope to discuss: - Basic definitions and examples - Geometry (algebraic, differential, etc.) of

S. Filip - K3 surfaces and Dynamics (Part 2)
Cours/Séminaire
01:01:40
S. Filip - K3 surfaces and Dynamics (Part 2)
Simion
Filip

K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamics. I hope to discuss: - Basic definitions and examples - Geometry (algebraic, differential, etc.) of

J. Aramayona - MCG and infinite MCG (Part 1)
Cours/Séminaire
00:59:18
J. Aramayona - MCG and infinite MCG (Part 1)
Aramayona
Javier

The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston

Intervenants

France
Membre de l'équipe de mathématiques fondamentales du Laboratoire d'Analyse, Topologie et Probabilités. Professeur à la Faculté des Sciences et Techniques de Saint Jérôme, Université Paul Cézanne (Aix-Marseille), France . Professeur HDR, Université d' Aix Marseille en 2019

Thèmes