Title: Moduli space of pinnings and decorated character variety
Speaker: Benedetta Facciotti
Abstract:In this talk we will discuss the relation between the moduli space of pinnings and the decorated character variety on a Riemann surface of genus 0. More precisely, we will focus on a specific example in rank 3 and consider the framed local system arising from such an example. We will see how representations of specific paths can be naturally computed exploiting Fock-Goncharov variables and an ideal triangulation of the surface involved.
Some snacks will be provided before and after the talk.