401-3574-61L Introduction to Knot Theory
Semester | Frühjahrssemester 2020 |
Dozierende | |
Periodizität | 2-jährlich wiederkehrende Veranstaltung |
Lehrveranstaltung | Findet dieses Semester nicht statt. |
Lehrsprache | Englisch |
Kurzbeschreibung | Introduction to the mathematical theory of knots. We will discuss some elementary topics in knot theory and we will repeatedly centre on how this knowledge can be used in secondary school. |
Lernziel | The aim of this lecture course is to give an introduction to knot theory. In the course we will discuss the definition of a knot and what is meant by equivalence. The focus of the course will be on knot invariants. We will consider various knot invariants amongst which we will also find the so called knot polynomials. In doing so we will again and again show how this knowledge can be transferred down to secondary school. |
Inhalt | Definition of a knot and of equivalent knots. Definition of a knot invariant and some elementary examples. Various operations on knots. Knot polynomials (Jones, ev. Alexander.....) |
Literatur | An extensive bibliography will be handed out in the course. |
Voraussetzungen / Besonderes | Prerequisites are some elementary knowledge of algebra and topology. |