Courbes

Etude complète d'une courbe : variations conjointes, tangentes, asymptotes, points singuliers, tracé. Bonus (à 24'02'') : Asymptote. Exo7. Cours et exercices de mathématiques pour les étudiants.

The Satake isomorphism identi es the irreducible representations of a semisimple algebraic group with the intersection cohomologies of the Schubert varieties in the a ne Grassmannian of

Droites à la fois tangentes et orthogonales à une courbe. Bonus (à 18'08'') : Tracé de la courbe. Exo7. Cours et exercices de mathématiques pour les étudiants. Retrouvez la correction écrite sur

Out of the quantum product of a projective smooth variety, we can construct a vector bundle with a at connection and a pairing, these data are called quantum D-modules. In a recent paper of

Etude de trois courbes en coordonnées polaires (dont la cissoïde et une lemniscate). Bonus (à 28'12'') : Coordonnées polaires. Exo7. Cours et exercices de mathématiques pour les étudiants.

Quantum K-theory is as quantum cohomology a generalisation of the classical coho- mology algebra of a variety X . In this talk I will explain the connection between the geometry of the moduli

Ensemble de points définis à l'aide du limaçon de Pascal. Bonus (à 19'46'') : Repère de Frenet. Exo7. Cours et exercices de mathématiques pour les étudiants. Retrouvez la correction écrite sur

We will give an introduction to Donaldson-Thomas theory and some basic tools and computations. In the last lecture, we hope to explain some aspects of the proof of the GW/DT

In this talk I will explain the idea of the Laplace transform that connects a counting problem in the A-model side with a recursion formula based on complex analysis in the B-model side, using a

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