Algebraic combinatorics seminar - David Jackson

A Quantum Invariant of Knots - Part 2

This is a continuation of a talk which began last week. It will be an informal talk about knot invariants which will not presuppose any background in knot theory. The theory is rich in combinatorial constructions combined with specific algebras. Thus the area also serves as a rich context for studying the combinatorial and enumerative properties of these algebras. Such algebras include Hopf algebras and Lie algebras, and their combinatorialisation (for example, through Penrose's diagrammatic tensor calculus).