Lecturer

• Dr. Isabel Stenger

Time and Place

• Lecture: Wednesday, 10:00-12:00, Room: Zeichensaal

• Exercise session: Tuesday, 12:00-14:00, Room: Seminarraum 9 (319), every two weeks

Note: The course will be held in English.

Content

• Differentiable and complex manifolds

• The tangent bundle

• Differential forms on differentiable/complex manifolds

• De Rham and Dolbeault cohomology

• Riemannian/hermitian/Kähler manifolds

Prerequisites: Linear Algebra I & II, Analysis I & II & III, Complex Analysis (Funktionentheorie).

Registration

To register for the course and the exercise classes, please send an email to stenger [ add @math.uni-sb.de]. This email should include also the following data: Name, Surname and Matrikelnummer.

Exercise Sheets

Exercise sheets will appear in our MS Teams - Complex Geometry Team every second week. They should be solved until the following week and the solutions shall be submitted via the MS Teams - Complex Geometry Team. The solutions will be corrected and graded, and then they will be returned to you in the next exercise session.

Exams

Exam Criteria: In order to be permitted to take part in the exam at least 50% of the total points from the exercise sheets must be collected.

Literature

The Campus-Bibliothek für Informatik und Mathematik set up a course reserve for this lecture, see here.