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MATH-F513

Riemann surfaces

academic year
2024-2025

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

Programmes