Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Localised structures are given by some structures together with an independence relation. They are meant to encode the notion of “locality” in Physics. When rooted forests are decorated by a set which is given an independence relation, a subset of these forests possesses a universal property that is a generalization of the usual universal property of decorated rooted forests. I will start by recalling the later and move on to present the generalization in the framework of localised sets. If the time allows it, I will sketch an application of this result to branched zeta functions.