240059 Knot Theory (V) (SoSe 2020)

The event will not take place as a face-to-face event until further notice. The lecture will be replaced by a reading course. You will receive the necessary material via the ekvv mailing list. The material for self-study is supplemented by a video conference in which the lecturer also explains the content and answers your questions. Organizational information (e.g. also on the practice) can be found on the lecturer's personal web page.

https://www.math.uni-bielefeld.de/~drust/teaching.html

The course introduces the student to the mathematical foundations of knot theory. Basic concepts, notions of equivalence and tools for analysing and differentiating knots and links are presented. Various notions of how to construct knots and notation for describing a knot are explored. Invariants for knots are discussed, including: knot colouring, crossing numbers, knot genus and knot polynomials.

Lecture Notes will be produced periodically as material is covered.

Basic knowledge of Linear Algebra and Topology is required.

Working language (including lecture notes and recommended books) is English.

The students can optionally use German for solving problem sets and answering exam questions.