PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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Title:Generalized Self-Distributivity manifolds
Seminar:Topology/Geometry Seminar
Speaker:Alissa Crans, Loyola Marymount University
Abstract:
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.

Room Reservation Information

Room Number:150 Hawthorn, Altoona
Date:02 / 21 / 2008
Time:05:00pm - 06:00pm