Abstract

Quivers that arise from triangulations of surfaces have been extensively studied by Fomin, Shapiro, and Thurston in the context of flips of triangulations. In this talk, we introduce restricted quiver mutation as a mild generalization of flips of triangulations and how this generalization can be connected to a variant of urban renewal in dimer models via Derksen, Weyman, and Zelevinsky’s mutation of quivers with potential.