Algebraic Topology 1 (V4D1), WS 2023/34

Lecturer: Markus Hausmann (hausmann@math.uni-bonn.de)
Assistent: Elizabeth Tatum (tatum@math.uni-bonn.de)

Lecture

Mondays, 14:15 - 16:00 and Fridays 14:15 - 16:00 in Kleiner Hörsaal, Wegelerstr. 10

Topics : Serre spectral sequence and applications (rational homotopy groups of spheres, cohomology of Eilenberg-MacLane spaces), Thom isomorphisms, characteristic classes, bordism theory.
Prerequisites : A good understanding of (co-)homology of spaces and some homotopy theory (e.g., Serre fibrations), as for example covered by the courses Topology I + II.

Exam : February 2nd, 2024, 14:00-16:00
Reexam : March 19th, 2024, 9:00-11:00, Kleiner Hörsaal. Please arrive at the lecture hall 10 minutes before the exam and bring a picture ID.
The reexam review will take place on March 20th between 2-2:30pm, in the room 1.007 at the Mathematical Institute.

Literature

Allen Hatcher: Spectral sequences in algebraic topology, available here: [Link]
Robert Mosher, Martin Tangora: Cohomology operations and applications in homotopy theory.
John McCleary: A User's guide to spectral sequences
John Milnor, James Stasheff: Characteristic classes