Lecturer: Christian Bär

What are the Euler and Betti numbers, what are homotopy and homology groups? In algebraic topology one tries to understand the shape of spaces by assigning algebraic invariants to them.
The lecture course will provide a thorough introduction to these concepts. The structures under consideration are fundamental for many geometric disciplines (differential and algebraic geometry) to global analysis and mathematical physics.
As applications of the calculus we will treat some classical theorems from topology such as the Jordan curve theorem, the theorem of Borsuk-Ulam and the ham-sandwich theorem.

Lectures:
Monday 14:15-15:45 in building 9, room 0.13
Thursday 12:15-13:45 in building 9, room 0.12

Exercise class:
Friday 14:15-15:45 in bulding 9, room 0.12

Exercise sheets:
Moodle Link

Suitable for:
4th year students (recommended)

Modulnummer(n):
721, 751, 752, A710, A750, 771, 772, 781, 81j, 82j, MATVMD711, MATVMD81j, MATVMD82j, MATVMD91j

Prerequisites (recommended):
Bachelor degree in mathematics or physics

Literature:
Lecture notes will be provided which contain further hints to the literature.