Webrelaunch 2020

Algebraic Topology (Winter Semester 2024/25)

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.

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