# Meeting Details

Title: Generalized Self-Distributivity manifolds Topology/Geometry Seminar Alissa Crans, Loyola Marymount University Self-distributive binary operations have appeared extensively in knot theory in recent years, specifically in algebraic structures called quandles". A quandle is a set equipped with two binary operations satisfying axioms that capture the essential properties of the operations of conjugation in a group. The self-distributive axioms of a quandle correspond to the third Reidemeister move in knot theory. Thus, quandles give a solution to the Yang-Baxter equation, which is an algebraic distillation of the third Reidemeister move. We formulate analogues of self-distributivity in the categories of coalgebras and Hopf algebras and use these to construct additional solutions to the Yang-Baxter equation.