6 ECTS credits
150 h study time

Offer 1 with catalog number 4013456FNR for all students in the 2nd semester of even academic years (e.g. 2012-2013) at a (F) Master - specialised level.

Semester
biennial: 2nd semester of an even academic year (e.g. 2012-2013)
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Taught in
Dutch
Faculty
Faculty of Science and Bio-engineering Sciences
Department
Mathematics
Educational team
Michel Van Den Bergh (course titular)
Activities and contact hours
30 contact hours Lecture
30 contact hours Seminar, Exercises or Practicals
Course Content
Knots, links, diagrams, Reidemeister moves,....

De Jones polynomial.

Braid groups.

The Yang Baxter equation (settheoretic and linear).

Hopf algebras, braided Hopf algebras, the Drinfeld double.

Application to U_q(sl_2) (de simplest quantum enveloping algebra).

Vassiliev invariants.
Course material
Course text (Required) : Knopentheorie, syllabus
Additional info
A syllabus.
Learning Outcomes

General competencies

Knots, links, diagrams, Reidemeister moves,....
De Jones polynomial.
Braid groups.
The Yang Baxter equation (settheoretic and linear).
Hopf algebras, braided Hopf algebras, the Drinfeld double.
Application to U_q(sl_2) (de simplest quantum enveloping algebra).
Vassiliev invariants.

Grading

The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.

Within the Other Exam category, the following assignments need to be completed:

  • Mondeling. with a relative weight of 1 which comprises 100% of the final mark.

    Note: Mondeling.

Additional info regarding evaluation
Oral examination.
Allowed unsatisfactory mark
The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context

This offer is part of the following study plans:
Master of Mathematics: Fundamental Mathematics (only offered in Dutch)
Master of Mathematics: Education (only offered in Dutch)