Topics in Algebraic Topology (Summer Semester 2025)
- Lecturer: JProf. Dr. Manuel Krannich
- Classes: Lecture (0100022), Problem class (0100025)
- Weekly hours: 3+1
This course introduces several algebraic invariants in order to study topological spaces up to deformation, beyond those covered in the lecture Algebraic Topology. This includes singular cohomology, product structures on cohomology, and homotopy groups. Further topics of this course include Poincaré duality, (co-)fibre sequences, and cellular approximation. We assume familiarity with the content of the lecture Algebraic Topology (basic notions of homotopy and category theory, singular homology, CW complexes, cellular homology and homological algebra).
The first lecture will be on 23 April. For further information, see the corresponding ILIAS page.
| Schedule | ||
|---|---|---|
| Lecture: | Thursday 11:30-13:00 | 20.30 SR -1.009 |
| Wednesday 15:45-17:15 (every 2nd week) | 20.30 SR 3.069 | |
| Problem class: | Wednesday 15:45-17:15 (every 2nd week) | 20.30 SR 3.069 |
| Lecturers | ||
|---|---|---|
| Lecturer | Dr. Florian Kranhold | |
| Office hours: By appointment | ||
| Room 1.019 Kollegiengebäude Mathematik (20.30) | ||
| Email: kranhold@kit.edu | Problem classes | M.Sc. João Lobo Fernandes |
| Office hours: | ||
| Room 1.018 Kollegiengebäude Mathematik (20.30) | ||
| Email: joao.fernandes@kit.edu | ||