Course MAT-49-15-K-6
Introduction to Tensor Categories (2V, 3.0 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
2 | V | Lecture | 3.0 CP | 28 h | 62 h |
(2V) | 3.0 CP | 28 h | 62 h |
Basedata
Contents
- categories, functors, additive and Abelian categories,
- monoidal categories and functors,
- Grothendieck ring, categorisation, example of categorisation of group rings.
In addition, a selection of the following topics:
- Hopf algebras and quantum groups,
- graphic calculus for morphisms,
- braided tensor categories, band categories and knot invariants,
- modular tensor categories and topological quantum field theories.
Literature
- P. Etingof, S. Gelaki, D. Nikshych, V. Ostrik: Tensor Categories,
- B. Bakalov, A. Kirillov: Lectures on Tensor Categories and Modular Functor,
- V. Turaev: Quantum Invariants of Knots and 3-Manifolds.
Materials
Further literature will be announced in the lecture.
Requirements for attendance (informal)
Modules:
Courses
Requirements for attendance (formal)
None
References to Course [MAT-49-15-K-6]
Module | Name | Context | |
---|---|---|---|
[MAT-49-15-M-6] | Introduction to Tensor Categories | P: Obligatory | 2V, 3.0 LP |
Course-Pool | Name | ||
[MAT-40-2V-KPOOL-4] | Elective Courses Algebra, Geometry and Computeralgebra (2V, B.Sc.) |