Quebec Mathematical Sciences Colloquium

April 30, 2021 from 15:00 to 16:00 (Montreal/EST time)

Knots, polynomials and signatures

Colloquium presented by 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