This course is an introduction to modular forms and complex multiplication. In the first part of the course, we will introduce the notion of modular forms, modular curves, dimension formula, Hecke operators and L-functions. In the second part of the course, we will introduce the theory of complex multiplication for elliptic curves.
Room: Lectures: Monday 16h15-17h45, Wednesday 12h15-13h45; Exercise sessions: Wednesday 16h15-17h45 all in WSC-S-U-3.03
References:
- Borel, Chowla, Herz and Serre, Seminar on complex multiplication
- Diamond and Shurman, A first course in modular forms
- Lang, Modular forms
- Miyake, Modular forms
- Lehrende(r): Massimo Bertolini
- Lehrende(r): Xiaoyu Zhang