I will discuss how the gauge/gravity duality can be used to investigate strongly-coupled field theories displaying Renornalization-group flows, when they are defined on a curved background spacetime. Using as a playground models based on Einstein-Dilaton gravity, I will discuss how the background curvature modifies RG-flows to IR fixed-point. I will focus in particular on theories defined on negative curvature manifolds, a setup which can be related to QFTs with interfaces.
