Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : https://zoom.us/j/96265107910?pwd=WWYydlEwVXBjaVY4OUxYQ09oeDg1UT09 ID de réunion : 962 6510 7910
Adresse :Conférence - Zoom

Orateur(s) Pierrick Bousseau - Orsay,
Titre Positivity for the skein algebra of the 4-punctured sphere.
Horaire15:45 à 17:00
RésumeThe skein algebra of a topological surface is constructed from knots and links in the 3-manifold obtained by taking the product of the surface with an interval. A conjecture of Dylan Thurston predicts the positivity of the structure constants of a certain linear basis of the skein algebra. I will explain a recent proof of this conjecture for the skein algebra of the 4-punctured sphere. In a slightly surprising way, this proof of a topological result relies on complex algebraic geometry and in particular the study of algebraic curves in complex cubic surfaces.
Sallehttps://zoom.us/j/96265107910?pwd=WWYydlEwVXBjaVY4OUxYQ09oeDg1UT09 ID de réunion : 962 6510 7910
AdresseConférence - Zoom