# A universal property for localised structures and application to branched zeta functions

#### 26.04.2017, 10:30  –  Haus 9, Raum 2.10 Arbeitsgruppenseminar Analysis

Sylvie Paycha

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.

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