The aim of this course is to give an introduction to complex geometry. At the beginning of the course, we will discuss holomorphic functions in several variables. Afterwards, we will introduce complex manifolds and give first examples. After discussing vector bundles and differential forms, we will turn our attention to cohomology theories. We will introduce singular and de Rham cohomology. Finally, we will treat Dolbeault theory and if time permits discuss a little bit of Hodge theory.
Password: The password is not 'Hedge' but the last name of a mathematician with a similar name.
- begleitende Lehrperson: Sally Gilles
- verantwortliche Lehrperson: Johannes Sprang
ePortfolio: No