Locality and the renormalization of branched zeta values

05.05.2017, 11 Uhr  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

Pierre Clavier

Localised structures are given by some structures together with an independence relation. They are meant to encode the notion of “locality” in Physics. Taking into account locality allows to define a (multivariate) regularisation of branched zeta values. Branched zeta values are a generalization of the usual zeta values in the same way that decorated rooted trees are a generalization of words. The construction of the branched zeta values uses a universal property of rooted trees decorated by a localised set.