The Brascamp–Lieb inequalities are an important family of inequalities in analysis that subsumes several inequalities significant in their own right, including Hölder’s inequality, Young’s inequality, and the Loomis–Whitney inequality. Several variants and extensions of these inequalities have been developed, some of which have proved to be very useful in contemporary harmonic analysis. In this talk, we will discuss the formulation of generalized Brascamp–Lieb inequalities for algebraic objects known as quivers, building on the recent work of Chindris and Derksen on the representation theory of quivers. No prior knowledge of Brascamp–Lieb inequalities or quivers will be assumed.