| Equipe(s) : | tga, |
| Responsables : | Catherine Gille et Najib Idrissi |
| Email des responsables : | |
| Salle : | 1016 |
| Adresse : | Sophie Germain |
| Description | Un plan d’accès est disponible ici. Pour vous inscrire à la liste de diffusion du séminaire, veuillez vous rendre à cette adresse. Le séminaire de topologie évolue. Des après-midi de topologie seront organisées tout au long de l'année (en collaboration avec USPN) et nous vous en tiendrons informé(e)s sur cette liste de diffusion. |
| Orateur(s) | Lisa Traynor - Bryn Mawr College, |
| Titre | [K-OS] Legendrian torus and cable links |
| Date | 12/05/2022 |
| Horaire | 14:00 à 15:00 |
| |
| Diffusion | https://lrobert.perso.math.cnrs.fr/join-kos.html |
| Résume | In contact topology, an important problem is to understand Legendrian
submanifolds; these submanifolds are always tangent to the plane field
given by the contact structure. In fact, every smooth knot type will
have an infinite number of different Legendrian representatives. A
basic problem is to give the âLegendrian mountain rangeâ of a smooth
knot, which records all Legendrian representatives of the knot
type. In topology, torus knots, torus links, and cable links form important families of knots and links. The mountain range classifications of all Legendrian torus knots have been established by Etnyre and Honda. I will explain the classification of all Legendrian torus links. In the process, we will see that there are interesting patterns on which tuples of points on the Legendrian mountain range of a torus knot can be realized as the components of a Legendrian torus link. We will also see that there are some Legendrian torus links that have smooth symmetries that cannot be realized by a Legendrian isotopy. I will also explain how these torus link statements have extensions to Legendrian cable links. These results are applications of convex surface theory. |
| Salle | 1016 |
| Adresse | Sophie Germain |