This course will cover the following topics:
- Holomorphic functions: definitions and first properties
- Cauchy-Riemann equations and complex differentiability
- Integration over paths
- Cauchy integral formula
- Liouville's theorem
- Zeros of holomorphic functions
- Analytic continuation
- The maximum principle
- Responsable: Chen Zhe
- Responsable: Hao Mai
- Responsable: Morain Pierre
- Responsable: Stingo Annalaura