S. Ghazouani - Isoholonomic foliations of moduli spaces of Riemann surfaces
- document 1 document 2 document 3
- niveau 1 niveau 2 niveau 3
- audio 1 audio 2 audio 3
Descriptif
In this talk, I will introduce families of foliations on the moduli space of Riemann surfaces M_{g,n} which we call Veech foliations. These foliations are defined by identifying M_{g,n} to certain moduli spaces of flat structures and were first defined by Bill Veech. I will try to expose their specificities, both of geometric and dynamical nature. If time permits I will try to illustrate how the case g=1 is linked to certain differential equations whose solutions are special functions of distinguished interest.
This is joint work with Luc Pirio.
Thème
Notice
Documentation
Dans la même collection
-
A. Höring - A decomposition theorem for singular spaces with trivial canonical class (Part 3)HöringAndreas
The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus, an
-
A. Belotto da Silva - Singular foliations in sub-Riemannian geometry and the Strong Sard ConjectureBelotto Da SilvaAndré Ricardo
Given a totally nonholonomic distribution of rank two $\Delta$ on a three-dimensional manifold $M$, it is natural to investigate the size of the set of points $\mathcal{X}^x$ that can be reached
-
S. Druel - A decomposition theorem for singular spaces with trivial canonical class (Part 5)DruelStéphane
The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus, an
-
C. Araujo - Foliations and birational geometry (Part 4)AraujoCarolina
In the last few decades, much progress has been made in birational algebraic geometry. The general viewpoint is that complex projective manifolds should be classified according to the behavior
-
F. Touzet - About the analytic classification of two dimensional neighborhoods of elliptic curvesTouzetFrédéric
I will investigate the analytic classification of two dimensional neighborhoods of an elliptic curve C with trivial normal bundle and discuss the existence of foliations having C as a leaf. Joint work
-
C. Spicer - Minimal models of foliationsSpicerCalum
We will discuss some recent work on the minimal model program (MMP) for foliations and explain some applications of the MMP to the study of foliation singularities and to the study of some
-
S. Druel - A decomposition theorem for singular spaces with trivial canonical class (Part 4)DruelStéphane
The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus,
-
G. Binyamini - Point counting for foliations over number fieldsBinyaminiGal
We consider an algebraic $V$ variety and its foliation, both defined over a number field. Given a (compact piece of a) leaf $L$ of the foliation, and a subvariety $W$ of complementary
-
C. Araujo - Foliations and birational geometry (Part 3)AraujoCarolina
In the last few decades, much progress has been made in birational algebraic geometry. The general viewpoint is that complex projective manifolds should be classified according to the behavior
-
H. Guenancia - A decomposition theorem for singular spaces with trivial canonical class (Part 2)GuenanciaHenri
The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus, an
-
D. Novikov - Wilkie's conjecture for restricted elementary functionsNovikovDmitriĭ Aleksandrovich
We consider the structure $\mathbb{R}^{RE}$ obtained from $(\mathbb{R},
-
C. Araujo - Foliations and birational geometry (Part 2)AraujoCarolina
In the last few decades, much progress has been made in birational algebraic geometry. The general viewpoint is that complex projective manifolds should be classified according to the behavior
Sur le même thème
-
"Le mathématicien Petre (Pierre) Sergescu, historien des sciences, personnalité du XXe siècle"HerléaAlexandre
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
-
Webinaire sur la rédaction des PGDLouvetViolaine
Rédaction des Plans de Gestion de Données (PGD) sous l’angle des besoins de la communauté mathématique.
-
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)
-
J. Fine - Knots, minimal surfaces and J-holomorphic curvesFineJoël
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
-
D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato conditionTewodroseDavid
I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian
-
D. Stern - Harmonic map methods in spectral geometrySternDaniel
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
-
M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass TheoremLesourdMartin
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
-
J. Wang - Topological rigidity and positive scalar curvatureWangJian
In this talk, we shall describe some topological rigidity and its relationship with positive scalar curvature. Precisely, we will present a proof that a complete contractible 3-manifold with
-
P. Burkhardt - Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flowBurkhardt-GuimPaula
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
-
D. Semola - Boundary regularity and stability under lower Ricci boundsSemolaDaniele
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
-
C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensionsLiChao
In this talk, I will discuss some recent developments on the topology of closed manifolds admitting Riemannian metrics of positive scalar curvature. In particular, we will prove if a closed PSC
-
A. Mondino - Time-like Ricci curvature bounds via optimal transportMondinoAndrea
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
