Séminaire SPACE Tours

Nilpotent quandles

par Jacques Darné (Université catholique de Louvain)

Europe/Paris
E2 1180 (Tours)

E2 1180

Tours

Description

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.