Algebraic Topology (Winter Semester 2024/25)
- Lecturer: JProf. Dr. Manuel Krannich
- Classes: Lecture (0100009), Problem class (0100011)
- Weekly hours: 4+2
This course provides an introduction to algebraic topology which is a fundamental discipline with ties to many areas in mathematics. Roughly, algebraic topology can be described as the study of topological spaces up to deformation by means of algebraic invariants. An exemplary application is Brouwer’s fixed point theorem: Every continuous self-map from the closed unit disc in d-dimensional Euclidean space has a fixed point. The proof relies on an algebraic invariant of topological spaces called singular homology which will be the main focus of this course. Further topics include basics of category theory and homological algebra, CW complexes and cellular homology.
For further information, see the corresponding Ilias page.
The first lecture will be on 21 October, the first problem class will be on 23 October.
The written exam will take place Mo, 24.03.2025, 11:00-13:00 at 10.11 (Hertz-Hörsaal).
| Schedule | ||
|---|---|---|
| Lecture: | Monday 11:30-13:00 | 20.40 Neuer Hörsaal Architektur |
| Thursday 15:45-17:15 | 20.30 Seminarraum -1.025 (UG) | |
| Problem class: | Wednesday 14:00-15:30 | 20.30 Seminarraum -1.013 (UG) |
| Lecturers | ||
|---|---|---|
| Lecturer | JProf. Dr. Manuel Krannich | |
| Office hours: By appointment. | ||
| Room 1.013 Kollegiengebäude Mathematik (20.30) | ||
| Email: krannich@kit.edu | Problem classes | Dr. Florian Kranhold |
| Office hours: By appointment | ||
| Room 1.019 Kollegiengebäude Mathematik (20.30) | ||
| Email: kranhold@kit.edu | ||