Title: Arborified zeta values and shuffles of rooted trees
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Arborified zeta values are a generalisation to rooted trees of the usual multizeta values. I construct these objects using a universal property of the algebra of rooted forests which allows to branch morphisms. I will present this construction without spending too much time on analytical details and will instead insist on the algebraic properties of these numbers, in particular their relations with new shuffle products of trees.
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