I will discuss a relationship between moduli spaces of quadratic differentials on compact Riemann surfaces and spaces of Bridgeland stability conditions on a certain class of 3-Calabi–Yau categories, following the work of Bridgeland and Smith. While I won’t discuss this aspect in detail, these 3-CY categories are expected to be (and in some cases are) Fukaya categories of Calabi–Yau threefolds, making the connection particularly relevant from the perspective of symplectic geometry.