2019

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

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

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

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

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

We consider the structure $\mathbb{R}^{RE}$  obtained from $(\mathbb{R},

Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes every small deformation of X. The Teichmüller space is a topological space formed by the classes

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

I will discuss dynamical properties of the Jouanolou foliation of the complex projective plane in degree two. Joint work with Aurélien Alvarez.

Given a projective algebraic orbifold, one can define associated logarithmic and orbifold jet bundles. These bundles describe the algebraic differential operators that act on germs of curves

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

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

Let X be a holomorphic symplectic manifold and D a smooth hypersurface in X. Then the restriction of the symplectic form on D has one-dimensional kernel at each point. This distribution is

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,

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,

The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its

The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its

The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its

The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its

We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.

We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.

We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.

We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.

This mini-course will review old and new results about algebraic leaves of codimension one foliations on projective manifolds. I will discuss some of the following topics: Darboux's Theorem and

This mini-course will review old and new results about algebraic leaves of codimension one foliations on projective manifolds. I will discuss some of the following topics: Darboux's Theorem and

This mini-course will review old and new results about algebraic leaves of codimension one foliations on projective manifolds. I will discuss some of the following topics: Darboux's Theorem and

This mini-course will review old and new results about algebraic leaves of codimension one foliations on projective manifolds. I will discuss some of the following topics: Darboux's Theorem and

In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of

In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of linear

In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of

In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.

The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.

The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.

The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.

The aim of this mini course is to highlight some links between the study of the Kobayashi hyperbolicity properties of complex projective manifolds and holomorphic foliations. A compact

The aim of this mini course is to highlight some links between the study of the Kobayashi hyperbolicity properties of complex projective manifolds and holomorphic foliations. A compact

The aim of this mini course is to highlight some links between the study of the Kobayashi hyperbolicity properties of complex projective manifolds and holomorphic foliations. A compact

The aim of this mini course is to highlight some links between the study of the Kobayashi hyperbolicity properties of complex projective manifolds and holomorphic foliations. A compact

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie

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

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

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

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