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

The skein algebra of a surface is built from knots in a thickening of the surface. The skein algebra is a quantization of the character variety and Teichmuller spaces and has close relations to famous quantum invariants such as the Jones polynomial. When the surface is a bigon, the skein algebra is the quantized coordinate algebra of the group SL_2, for which a positive basis was constructed by Kashiwara. Fock, Gontcharov, and D. Thurston conjecture that the skein algebra of surfaces without boundary has a positive basis. We will discuss some results related to the positivity conjecture. Joint work with F. Costantino, D. Thurson, and T. Yu.