Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :



Orateur(s) Steven Charlton - Universität Hamburg,
Titre Multiple zeta values in block degree 2, and the period polynomial relations
Horaire14:00 à 15:00

I introduced the block decomposition on multiple zeta values in order to understand and generalise some (conjectural) families of relations.  It was extended to a filtration on motivic multiple zeta values by Francis Brown and further extended by Adam Keilthy, who showed it gives a route to understanding the structure of the motivic Lie algebra.  I will discuss a recent project with Keilthy where we are able to understand the structure in block degree 2 by evaluating $\zeta(2, ..., 2, 4, 2, ..., 2)$ in terms of double zeta values, and where we showed how the famous period polynomial relations for double zeta values arise in an explicit way from the so-called block relations introduced in Keilthy's thesis.