The Gromov-Eliashberg theorem states that a diffeomorphism which can be written as a C^0 limit of symplectomorphisms is itself a symplectomorphism.  In this talk, I will show that coisotropic submanifolds and their characteristic foliations exhibit similar rigidity properties.  This is joint work with Vincent Humiliere and Remi Leclercq.

We will discuss obstructions to and constructions of Lagrangian cobordisms between Legendrian submanifolds of the contact Euclidean space. In addition, we will introduce the spherical spinning construction and will construct infinitely many not pairwise Legendrian isotopic Legendrian S^1 x S^{i1} x ... x S^{ik} which have the same classical invariants.

Un résultat classique de Bondal-Van den Bergh affirme que la catégorie dérivée des faisceaux quasi-cohérents d'un schéma quasi-compact quasi-séparé est engendrée par un générateur compact. Ceci implique la dg-affinité de ces schémas. Nous prouverons ici un résultat analogue pour les DQ-modules (ici DQ= Deformation Quantization).

Salle au Val.

Salle des séminaires.

Salle des Séminaires.

In the first part of the seminar, I will introduce Calabi's diastasis function, a special Kähler potential defined on real analytic Kähler manifold. Then I will illustrate some of its applications. In the second part, I will apply the properties of the diastasis function to provide a lower and an upper bound for the first eigenvalue of a noncompact real analytic Kähler manifold in terms of diastasis and diastatic entropy.