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)