# Séminaires : Séminaire Groupes, Représentations et Géométrie

 Equipe(s) : gr, Responsables : A. Brochier, O. Brunat, J.-Y. Charbonnel, O. Dudas, E. Letellier, D. Juteau, M. Varagnolo, E. Vasserot Email des responsables : Adrien Brochier , Olivier Brunat , Jean-Yves Charbonnel , Olivier Dudas , Emmanuel Letellier , Daniel Juteau , Michela Varagnolo , Eric Vasserot Salle : salle 2015, 2em étage, Adresse : Sophie Germain Description

 Orateur(s) Vera VÉRTESI - IRMA Strasbourg, Titre Combinatorial Tangle Floer homology Date 04/11/2016 Horaire 10:30 à 11:30 Diffusion Résume Knot Floer homology is an invariant for knots and links defined by Ozsvath and Szabo and independently by Rasmussen. It has proven to be a powerful invariant e.g. in computing the genus of a knot, or determining whether a knot is fibered. In this talk I define a generalisation of knot Floer homology for tangles; Tangle Floer homology is an invariant of tangles in $D^3$, $S^2\times I$ or in $S^3$. Tangle Floer homology satisfies a gluing theorem and its version in $S^3$ gives back a stabilisation of knot Floer homology. In the first part of my talk I will give description of (a combinatorial version of) knot Floer homology, and a show its naive restriction to tangles. Then in the second part I give the correct definition of tangle Floer homology and finally I discuss how to see tangle Floer homology as a categorification of the Reshetikhin-Turaev invariant. Salle salle 2015, 2em étage, Adresse Sophie Germain