Algebraic Topology 1 (V4D1), WS 2026/27

Lecturers: Markus Hausmann (hausmann@math.uni-bonn.de), Christian Carrick (carrick@math.uni-bonn.de)

Lecture

Mondays, 14:15 - 16:00, Kleiner Hörsaal, and Wednesdays, 08:15 - 10:00, Zeichensaal.

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.

The lecture will be organized through eCampus. Please register there if you are interested in following the course.

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