Title of the course: Riemann Surfaces
Instructor: MSc. Andrea Tomatis
Institution: Beuth Hochschule fuer Technik Berlin
Dates: 29 July – 4 August 2019
Prerequisites: Basic complex analysis, a little topology/differential geometry including the definition of a manifold would not hurt, although it will be reviewed in the course.
Level: Graduate, advanced undergraduate
Abstract: This is a basic introduction to the theory of compact Riemann surfaces. After the definitions and some motivation coming from holomorphic functions and elliptic integrals we will try to reach one or more of the following big classical theorem: Riemann-Roch, Abel-Jacobi, Uniformisation.