Sublinear bilipchitz equivalence is a weakening of quasiisometry where the additive error terms are allowed to grow sublinearly. It was introduced by Cornulier in relation with the determination of the asymptotic cones of Lie groups. In recent joint work with Grayevsky, we complete the classification of Riemannian symmetric spaces up to sublinear bilipschitz equivalence by generalizing to this setting a theorem of Kapovich, Kleiner and Leeb about quasiisometries and the de Rham decomposition. As an application, we provide new contributions to the quasiisometry classification of solvable Lie groups. I will present these results in the talk.
