Towards a categorification of the Jacobi identity?

Mardi, 19. novembre 2019 - 14:00 - 15:00

Arnaud Mortier (LMNO)


The four-term (4T) relation is a relation that shows up as the essential ingredient to study an important family of knot invariants known as finite-type. It has multiple meanings and interpretations, one of which being as a rewriting of the Jacobi identity with some diagrammatic dictionary. I will explain how the topologist's point of view leads to a natural categorification of the 4T relation which could in turn reveal new kinds of structures lying above Lie algebras.