Note: Lecture on May 22 is cancelled.Course schedule:Lecture 1. Reidemeister moves, colouring invariants, linking numberLecture 2. The Kauffman bracket and the Jones polynomialLecture 3. Fundamental group. The knot groupLecture 4. The knot quandle. The complete knot invariantLecture 5. The braid group and the braid recognition algoritmLecture 6. Alexander's theorem and Markov's theoremLecture ...
Oragnizer:Ben-Michael KohliSpeaker:Ben-Michael KohliTime:Mon. & Wed., 9:50-11:25 amOct. 14-Nov. 6, 2024Venue:B627, Shuangqing Complex Building AAbstract: This sequence of talks aims to introduce the intricate world of knots and links through their topological and algebraic representations. We will begin with the basic language of knot diagrams and tensor products of vector spaces, progressi...