Abstract: Ricci soliton metrics are a generalization of Einstein metrics that arise as self-similar solutions to the Ricci flow. An important subclass of Ricci solitons are given by the so called algebraic solitons. More specifically a Lie group S with a left invariant metric is said to be an algebraic Ricci soliton if the (1, 1) Ricci tensor Ric satisfies an equation of the form: Ric = cId + D for some derivation D ∈ Der(s). An active area of research in recent years has been the study of submanifolds of symmetric spaces and their connections to homogeneous Einstein and Ricci-soliton metrics. In particular, recent work by Sanmartin-Lopez claims to classify Ricci soliton codimension one subgroups of nilpotent Iwasawa groups. In this talk I will explain some of these ideas and talk about ongoing joint work on a related question.