Geometric approach to double shuffle relations (Nikita MARKARIAN, Strasbourg)

21.04.2026 15:30 – 16:30

Inspired by the work of Deligne–Terasoma, I will present a geometric approach to the double shuffle relations. In particular, I will explain how the pentagon equation implies the regularized double shuffle relations for formal multiple zeta values. I will then introduce a relation, which I call the homological pentagon equation, and show that it is implied by the pentagon equation and is equivalent to the regularized double shuffle relations. If time permits, I will discuss how this approach leads to a connection between the harmonic coproduct and the Turaev cobracket.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre