Content of the course

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.

Schedule:

Lectures: 
- Monday 10:15-11:45 in WSC-S-U-3.01
- Wednesday 10:15-11:45 in WSC-S-U-3.01
Exercises (Dr. Martin Schwald):
- Wednesday 8:15-9:45 in WSC-S-U-3.01

Moodle

For more information, please, see the Moodle page of this course (the password is: Hodge).

Please, do not hesitate to contact me if you have any questions.