Title: Triangulations, Quivers with Potentials, and Derived Equivalences

Abstract: A triangulation of a marked surface gives a quiver with potential, from which a 3-Calabi–Yau triangulated category can be constructed. In this talk, we will introduce the connections between surface triangulations, quivers with potentials, and their associated derived categories. We will explain how flips of a triangulation correspond to mutations of the associated quiver with potential, and how these mutations induce derived equivalences between the corresponding categories.