Geometric limits of convex-cocompact and Anosov representations

For Kleinian groups there is a very rich study of examples of geometric limits which are different than the algebraic limit, inspired by fundamental examples described by Jorgensen and Kerckhoff-Thurston. I will discuss joint work with Beatrice Pozzetti, where we generalize these examples and study geometric limits "à la Jorgensen" for cyclic and free subgroups of rank-1 Lie groups. I will also describe our work in progress where we generalize this theory to higher rank Lie groups and to surface group representations. 

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