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C. T. McMullen - Billiards, quadrilaterals and moduli spaces
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Dans la même collection
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A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 3)
ZORICH Anton
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
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A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 1)
ZORICH Anton
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
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Ö. Yurttas - Algorithms for multicurves with Dynnikov coordinates
YURTTAS Öykü
Multicurves have played a fundamental role in the study of mapping class groups of surfaces since the work of Dehn. A beautiful method of describing such systems on the n-punctured disk is given by
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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
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P. Hubert - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 2)
HUBERT Pascal
1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to
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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
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S.Schleimer - An introduction to veering triangulations
SCHLEIMER Saul
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
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G. Forni - Cohomological equation and Ruelle resonnences (Part 2)
In these lectures we summarized results on the cohomological equation for translation flows on translation surfaces (myself, Marmi, Moussa and Yoccoz, Marmi and Yoccoz) and apply these results to the
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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
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L. Liechti - Minimal dilatations on nonorientable surfaces
LIECHTI Livio
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
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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
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J. Smillie - Horocycle dynamics (Part 2)
SMILLIE John
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
Sur le même thème
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"Le mathématicien Petre (Pierre) Sergescu, historien des sciences, personnalité du XXe siècle"
HERLéA Alexandre
Alexandre HERLEA est membre de la section « Sciences, histoire des sciences et des techniques et archéologie industrielle » du CTHS. Professeur émérite des universités, membre effectif de l'Académie
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Webinaire sur la rédaction des PGD
LOUVET Violaine
Rédaction des Plans de Gestion de Données (PGD) sous l’angle des besoins de la communauté mathématique.
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Alexandre Booms : « Usage de matériel pédagogique adapté en géométrie : une transposition à interro…
« Usage de matériel pédagogique adapté en géométrie : une transposition à interroger ». Alexandre Booms, doctorant (Université de Reims Champagne-Ardenne - Cérep UR 4692)
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A. Mondino - Time-like Ricci curvature bounds via optimal transport
MONDINO Andrea
The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog” of the
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M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
LESOURD Martin
The study of positive scalar curvature on noncompact manifolds has seen significant progress in the last few years. A major role has been played by Gromov's results and conjectures, and in
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P. Burkhardt - Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow
BURKHARDT-GUIM Paula
We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second
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R. Perales - Recent Intrinsic Flat Convergence Theorems
PERALES Raquel
Théorèmes récents de convergence plane intrinsèque
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J. Fine - Knots, minimal surfaces and J-holomorphic curves
FINE Joël
I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space
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D. Semola - Boundary regularity and stability under lower Ricci bounds
SEMOLA Daniele
The theory of non smooth spaces with lower Ricci Curvature bounds has undergone huge developments in the last thirty years. On the one hand the impetus came from Gromov’s precompactness theorem
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Y. Lai - A family of 3d steady gradient Ricci solitons that are flying wings
LAI Yi
We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at
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D. Stern - Harmonic map methods in spectral geometry
STERN Daniel
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to
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R. Bamler - Compactness and partial regularity theory of Ricci flows in higher dimensions
BAMLER Richard H.
We present a new compactness theory of Ricci flows. This theory states that any sequence of Ricci flows that is pointed in an appropriate sense, subsequentially converges to a synthetic flow.