Introduction to Riemann Surfaces
Course topics
- Riemann surfaces, basic definitions. Topological structure, fundamental group and (co)homologies.
- Functions and maps on Riemann surfaces.
- Integration on Riemann surfaces, differential forms and Stokes theorem.
- Divisors and meromorphic functions
- Algebraic curves and Riemann Roch theorem.
- Applications of Riemann Roch.
- [Time permitting] Abel’s theorem or Sheaves and their cohomology.
Course Information
- University course catalogue:
- 201.2.5101
- Level:
- Graduate
- Credits:
- 4.0