Colloque des sciences mathématiques du Québec

30 avril 2021 de 15 h 00 à 16 h 00 (heure de Montréal/HNE)

Knots, polynomials and signatures

Colloque par Eva Bayer-Fluckiger (École Polytechnique Fédérale de Lausanne)

After a historical introduction to knot theory, the talk will be centered around two knot invariants, the Alexander polynomial and the signature. The aim is to introduce a finite abelian group that controls their relationship, and to illustrate this by several examples. Using Seifert matrices, the geometric questions are translated into arithmetic ones.

Knots, polynomials and signatures