Des approfondissements sur des sujets avancés en lien avec le cours de Théorie des Nombres (FMA_51052_EP). The format/structure of the EA is quite flexible, with independent reading of documents constituting a key component, possibly preceded by some introductory mini-lectures on the chosen topic. This will lead to the writing of a thesis (∼15 pages) and an oral defence.
Examples of EA topics :
- Integers of the form x^2+ny^2;
- p-adic L-functions;
- Galois cohomology;
- Modular forms;
- The Kronecker-Weber theorem;
- Adèles and idèles;
- Hecke characters and their L-functions;
- The Prime Number Theorem;
- Apollonian circle packings.
Language of the course: French or English.
