Secretariat for Master of Mathematics
- Mzia Goguadze
- office D200
- 01 49 40 28 10
| Formation | M1 Fundamental and applied mathematics |
| Semester | 1 |
| Teaching staff | Lecturer : Laurent Rigal, Eric Hoffbeck, Alberto Vezzani, TA : |
| Credits | 6 ECTS |
| Teaching hours | 30h of lectures + 30h of TA sessions |
| Validation scheme | Final exam |
Syllabus
The first half of the course is a core curriculum; we then offer two options.
Common core: Reduction of endomorphisms. Jordan and Frobenius reduction of endomorphisms. Links with the classification of finite abelian groups.
Fundamental option: Complex representations of finite groups. Complex representations of finite groups, semi-simplicity, characters, examples of groups with small cardinallity.
Applied option: Effective reduction methods and correcting codes. Effective reduction methods. Error correcting codes, linear correcting codes, Hamming and Reed-Salomon codes.