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Nombre de programmes trouvés : 6070
Conférences

le (1h1m14s)

C. Gasbarri - Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne I (Part 3)

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 formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points communs entre les preuves de ces différents théorèmes, et sur leurs conséquences "concrètes" concernant la géometrie et l’arithmétique des variétés algébriques. Algébrisation des variétés analytiques projectives: les théorèmes de Siegel et de Chow. Autour du théorème de Lefschetz faible. Une introduction à la géométrie formelle. Le théorème d’algébrisation de Grothendieck.
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Conférences

le (1h1m4s)

C. Gasbarri - Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne I (Part 4)

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 formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points communs entre les preuves de ces différents théorèmes, et sur leurs conséquences "concrètes" concernant la géometrie et l’arithmétique des variétés algébriques. Algébrisation des variétés analytiques projectives: les théorèmes de Siegel et de Chow. Autour du théorème de Lefschetz faible. Une introduction à la géométrie formelle. Le théorème d’algébrisation de Grothendieck.
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Conférences

le (1h2m16s)

H. Reis - Introduction to holomorphic foliations (Part 1)

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 relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the holomorphic setting and with some emphasis on the case of foliations of dimension 1 and foliations of codimension 1. These definitions will be illustrated with natural examples arising in the projective plane (space). Next, the fundamental notions ...
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Conférences

le (1h2m17s)

H. Reis - Introduction to holomorphic foliations (Part 2)

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 relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the holomorphic setting and with some emphasis on the case of foliations of dimension 1 and foliations of codimension 1. These definitions will be illustrated with natural examples arising in the projective plane (space). Next, the fundamental notions ...
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Conférences

le (1h38m51s)

H. Reis - Introduction to holomorphic foliations (Part 3)

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 relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the holomorphic setting and with some emphasis on the case of foliations of dimension 1 and foliations of codimension 1. These definitions will be illustrated with natural examples arising in the projective plane (space). Next, the fundamental notions ...
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Conférences

le (1h34m35s)

H. Reis - Introduction to holomorphic foliations (Part 4)

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 relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the holomorphic setting and with some emphasis on the case of foliations of dimension 1 and foliations of codimension 1. These definitions will be illustrated with natural examples arising in the projective plane (space). Next, the fundamental notions ...
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Conférences

le (55m58s)

H. Guenancia - A decomposition theorem for singular spaces with trivial canonical class (Part 1)

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 irreducible, simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With the development of the minimal model program, it became clear that singularities arise as an inevitable part of higher dimensional life. We will present recent works in which a singular version of the decomposition theorem is established.
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Conférences

le (57m38s)

S. Druel - A decomposition theorem for singular spaces with trivial canonical class (Part 4)

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 irreducible, simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With the development of the minimal model program, it became clear that singularities arise as an inevitable part of higher dimensional life. We will present recent works in which a singular version of the decomposition theorem is established.
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Conférences

le (1h6m50s)

A. Belotto da Silva - Singular foliations in sub-Riemannian geometry and the Strong Sard Conjecture

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 by singular horizontal paths starting from a same point $x \in M$. In this setting, the Sard conjecture states that $\mathcal{X}^x$ should be a subset of the so-called Martinet surface of 2-dimensional Hausdorff measure zero. I will present a reformulation of the conjecture in terms of the behavior of a (real) singular ...
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