Motivic Knot Theory: Quadratic Linking Degree

This lecture by Clémentine Lemarié-Rieusset introduces the quadratic linking degree, a concept in motivic knot theory that parallels the linking number in algebraic geometry. The lecture covers knot theory basics, oriented links in algebraic geometry, Chow groups, intersection theory, and Milnor-Witt K-theory. The quadratic linking degree is defined as the image of the intersection product of Seifert surfaces by the boundary map. Examples like the Hopf link and the Solomon link are discussed to illustrate the theory. The lecture concludes with a presentation of the preprint 'The Quadratic Linking Degree' by Clémentine Lemarié-Rieusset.