Louis H Kauffman, Knots, Graphs and Groups, 16.04.23.

Knots, Graphs and Groups seminar at MIPT, Russia
Title: Diagrammatic Algebra, State Sums and Relationships of Graph Theory and Virtual Knot Theory
Speaker: Louis H Kauffman, UIC
Abstract: This talk will begin by describing diagrammatic algebra behind the structure of the quaternions and vector cross product.
We then show how this algebra is related to map coloring and (via generalization) to the diagrammatic Jacobi relation behind Vassiliev invariants.
We then discuss recent relations between graph theory and virtual knot theory with many examples. The talk is intended to be self-contained with
elementary explanations for its concepts and techniques.