# 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 : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) Steven Charlton - Universität Hamburg, Titre Multiple zeta values in block degree 2, and the period polynomial relations Date 05/12/2022 Horaire 14:00 à 15:00 Diffusion Résume 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. Salle 15-25-502 Adresse Jussieu