Summer Semester 2025

Complex Geometry

(rough) Aim of the course: To learn what complex manifolds are, and look at some examples.  We will also learn about sheaves on complex manifolds and their cohomology. In particular, we will define the Dolbeault complex, and it's cohomology. We will also learn about Kaehler manifolds, and finally state and prove the Hodge decomposition of Dolbeault cohomology.  If time permits, we will dive a little deeper into Kaehler manifolds, and study examples.

Registration: Send an email with your full name and Matrikelnummer either to me: aryaman.patel [add @math.uni-sb.de] or to Erik Paemurru: paemurru [add @math.uni-sb.de]

Schedule: Lectures once every week on Tuesdays 10am - 12pm (room TBD), exercise classes every other week (schedule TBD)

Exam: Oral exam at the end of the semester scheduled individually with participants

Resources: (will appear here soon)