Course teacher(s)
Joel FINE (Coordinator)ECTS credits
5
Language(s) of instruction
english
Objectives (and/or specific learning outcomes)
A surface is a space built by gluing together small pieces of R^2 using homeomorphisms. To build a Riemann surface, we glue together small pieces of C using biholomorphisms. Such surfaces arise naturally in many areas of mathematics and physics. Since the gluing maps are biholomorphisms one can do complex analysis on such surfaces. We will investigate the strong links between the topology of the Riemann surface and the behaviour of the holomorphic objects defined on it.
Prerequisites and Corequisites
Cours co-requis
Teaching methods and learning activities
Lectures
References, bibliography, and recommended reading
"Riemann Surfaces" by Simon Donaldson.
Other information
Contacts
joel.fine@ulb.ac.be
Evaluation
Method(s) of evaluation
- Oral examination
Oral examination
Oral exam
Language(s) of evaluation
- english
- french