Positivity in open Gromov-Witten theory

We will review open Gromov-Witten theory, a mathematical theory of topological strings. We will argue that many of the main ingredients of positive geometries which appear in physics are also present in this theory. We will concentrate on an example which highlights these similarities - open r-spin theory.

The talk is based on joint works with S. Buryak, E. Clader; M. Gross, T. Kelly; Y. Zhao; and some recent progress.