Cluster algebraic structures in Teichmüller theory

Abstract: This talk will be an introduction to the use of cluster coordinates in Teichmüller theory. To motivate this topic, I will first review a classical result, proved independently by Nigel Hitchin and Michael Wolf, which provides a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. I will then explain how, if we replace holomorphic differentials in this theorem by meromorphic differentials, the corresponding Teichmüller space acquires a natural cluster structure.

zoom id: 975 0835 1557 password：619128 link: ucr.zoom.us/j/97508351557?pwd=eTh1ZXlQM2dMd3gyak1xVFFiSGc2Zz09

commutative algebraalgebraic geometrycombinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

SJTU algebra seminar