Quantum Topology Seminar
Louis H Kauffman
UIC
Introduction to Quandles and Fox Colorings
Abstract: This is an introductory talk to an algebraic structure, the quandle, and its applications in knot theory.
An (involuntary) quandle is a (non-associative) algebra A with one binary operation * such that a*a = a for all a in A,
(a*b)*b = a for all a and b in A, and (a*b)*c = (a*c)*(b*c) for all a,b,c in A. We will discuss the relationship of
quandles to group theory and knot theory and the study of Fox colorings of knots. This is an introductory talk,
and should be accessible to anyone with some background in abstract algebra.
Tuesday January 14, 2020 at 3:00 PM in 1227 SEO