Man-Wai Cheung: Quiver representations and theta functions

Abstract: Scattering diagrams, theta functions and broken lines were developed in order to describe toric degenerations of Calabi-Yau varieties and construct mirror pairs. Later, Gross-Hacking-Keel-Kontsevich unravel the relation of those objects with cluster algebras. In the talk, we will discuss how we can compute theta functions by using theory from quiver representation. We will also see how the broken lines on scattering diagram give a stratification of quiver Grassmannians using this setting. If we have time, we can discuss counting tropical curves by similar machinery.