## Non-displaceable Lagrangian links in four-manifolds

### Vendredi 15 novembre 14:00-15:00 - Cheuk Yu Mak - Cambridge

Résumé : One of the earliest fundamental applications of Lagrangian Floer theory is detecting the non-displaceablity of a Lagrangian submanifold. Many progress and generalisations have been made since then but little is known when the Lagrangian submanifold is disconnected. In this talk, we describe a new idea to address this problem. Subsequently, we explain how to use Fukaya-Oh-Ohta-Ono and Cho-Poddar theory to show that for every S^2 \times S^2 with a non-monotone product symplectic form, there is a continuum of disconnected, non-displaceable Lagrangian submanifolds
such that each connected component is displaceable.
This is a joint work with Ivan Smith.

Lieu : Bâtiment 307, salle 3L8

Non-displaceable Lagrangian links in four-manifolds  Version PDF
novembre 2019 :
 Département de Mathématiques Bâtiment 307 Faculté des Sciences d'Orsay Université Paris-Sud F-91405 Orsay Cedex Tél. : +33 (0) 1-69-15-79-56 Département Fermeture du département Laboratoire Formation