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
| SWS | 2V |
|---|---|
| CP, Effort | 3.0 CP = 90 h |
| Position of the semester | 1 Sem. irreg. |
| Level | [6] Master (General) |
| Language | [EN] English |
| Lecturers |
+ further Lecturers of the department Mathematics
|
| Area of study | [MAT-AGCA] Algebra, Geometry and Computer Algebra |
| Additional informations | |
| Livecycle-State | [NORM] Active |
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)
NoneReferences 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.) |