Courbes

In this introductory course I will present the basic notions, both local and global, using classical examples. I will explain statements in connection with the resolution of singularities with

A nonsingular holomorphic foliation of codimension on a complex manifold is locally given by the level sets of a holomorphic submersion to the Euclidean space . If is a Stein manifold, there also

A nonsingular holomorphic foliation of codimension on a complex manifold is locally given by the level sets of a holomorphic submersion to the Euclidean space . If is a Stein manifold, there also

Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathe- matics and physics in the last twenty years; we will review here a number of results

Graphe d'une fonction, tangente, position par rapport à cette tangente. Bonus (à 26'17'') : Dominae d'atude, tangente par les DL, asymptote pour les graphes de fonctions. Exo7. Cours et exercices de

Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going

Courbes paramétrées et graphes de fonctions. Bonus (à 10'00'') : Paramétrisation d'un graphe. Exo7. Cours et exercices de mathématiques pour les étudiants. Retrouvez la correction écrite sur http:/

Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathe- matics and physics in the last twenty years; we will review here a number of results

Etude et tracé de trois courbes paramétrées (dont la cycloïde et l'astroïde). Bonus (à 40'32'') : Plan d'étude d'une courbe paramétrée. Exo7. Cours et exercices de mathématiques pour les étudiants.

The topic concerns relations among the kappa classes in the tautological ring of the moduli space of genus g curves. After a discussion of classical constructions in Wick form, we derive an

Domaine d'étude et tracé d'une courbe paramétrée. Bonus (à 12'51'') : Recherche des symétries. Exo7. Cours et exercices de mathématiques pour les étudiants. Retrouvez la correction écrite sur http:

In these lectures, Gromov{Witten theory will be introduced, assuming only basic moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture will be