University of Sydney / School of Mathematics and Statistics / Computational Algebra Group

Description

Aim

The aim of Cohen's part of the course is to introduce the students to knot theory and familiarize them with algorithmic aspects and known software.

Description

The core problem of knot theory is to decide whether two knots are equal. Partial solutions by means of knot invariants are known, the most common of which will be discussed in the course by Arjeh Cohen. We will focus on algorithmic aspects and work and use software for visualization and computation of invariants.

All notions mentioned above will be defined in the course and their properties, as needed, developed, with the exception of the basic material mentioned below (see Prerequisites).