Surface skein algebras, categorification and positivity

Abstract: Skein algebra for surfaces appear in quantum topology as natural generalizations of the Jones polynomial to thickened surfaces. They enjoy deep connections with the theory of cluster algebras, which partly motivated the conjecture by Fock-Goncharov-Thurston that these algebras should admit a basis with positive structure constants. I will explain a proof of a version of such a conjecture based on the use of categorification tools from quantum algebra.

This is based on joint work with Kevin Walker and Paul Wedrich

zoom id: 936 7477 0787 pasword: 556794 Link: ucr.zoom.us/j/93674770787?pwd=ODJLb0VvbWRwc2ZGUWRMMjhwZ3FqUT09

commutative algebraalgebraic geometrycombinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

SJTU algebra seminar