UIC Graduate Student Seminar

Friday August 31
3:00 pm
636 SEO

Speaker: Lou Kauffman

Title: Knots, Lie Algebras and Feynman Diagrams

Abstract: New approaches to knot theory arose in the 1980's. These methods are closely tied to certain aspects of physics connected with Lie algebras (and Hopf algebras). We will show how the combinatorial topology of knots and links is connected with Lie algebras (in such a way that representations of Lie algebras give rise to invariants of knots and links). With appropriate diagrams this is the elementary part of the talk! Then we will discuss how this way of looking at knot invariants is related to category theory, statistical mechanics and quantum field theory.