Séminaire SPACE Tours

Nilpotent quandles
Jacques Darné (Université catholique de Louvain)
Friday 16 December 2022 10:30 -  Tours -  E2 1180

Résumé :

Quandles are algebraic structures which were introduced independendtly by Joyce and by Matveev in 1982 in order to encode invariants of knots and links. They showed in particular that the fundamental quandle is close to being complete invariant of links. In this talk, we introduce a particular class of quandles, which we call nilpotent. We explore the basic properties of such quandles and of the invariants that they encode. In particular, we show how the language of nilpotent quandles can be used to study invariants of links up to link-homotopy.

Liens :

• Indico