Combinatorial Hopf Algebras and Mould Calculus
timetable:
Wed 10 Apr, 9:30 - 10:30, Sala Conferenze Centro De Giorgi
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Arborified multiple zeta values
speaker: Dominique Manchon (CNRS, Laboratoire de mathématiques - UMR 6620)abstract: I'll describe some particular finite sums of Multiple zeta values which arise from J. Ecalle's arborification, a process which has been described by F. Fauvet and F. Menous as a surjective Hopf algebra morphism from the Hopf algebra of decorated rooted forests onto a Hopf algebra of shuffles or quasi-shuffles. This formalism holds for both the iterated sum picture and the iterated integral picture. It involves a decoration of the forests by the positive integers in the first case, by only two colours in the second case. Talk in english or in french according to the audience.
timetable:
Wed 10 Apr, 9:30 - 10:30, Sala Conferenze Centro De Giorgi
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