Séminaires : Séminaire Géométrie et Topologie

Ce séminaire s’adresse aux géomètres, topologues et dynamiciens au sens large. Il est rattaché aux équipes Analyse Algébrique et Analyse Complexe et Géométrie. Les exposés seront accessibles à une audience large, doctorants inclus. Il se tiendra à Jussieu, le jeudi à 11h, en salle 15-25 502. Le séminaire a l'agenda google suivante: https://calendar.google.com/calendar/b/0?cid=dDgzNTJoczNmdDhlMm5nb2IzMXJwaWpsdHNAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbQ

I will present a joint work with Fathi Ben Aribi and Ka Ho Wong around volume conjectures. Roughly, a volume conjecture describes a link between the semiclassical limit of a quantum invariant of a triangulated hyperbolic knot complement and the hyperbolic geometry of its complement. There are several flavors and we will focus of a version by Andersen and Kashaev.
Recently, arguments by Fathi and Ka Ho reduce essentially this conjecture to a combinatorial property of the triangulation, called FAMED. I will explain this condition and how to extensively test this condition, and a path toward a proof of the volume conjecture.