Title Positivity for the skein algebra of the 4-punctured sphere.

Mardi 17 novembre 2020 16:00-18:00 - Pierrick Bousseau - Orsay

Résumé : The 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.

Lieu : Demander le lien Zoom à jean-michel.bismut@universite-paris-saclay.fr

Title Positivity for the skein algebra of the 4-punctured sphere.  Version PDF