# Algebraic Topology II (V4D2), Summer term 2019

Lecture course, Mondays 14:15 -- 16:00
and Wednesdays 8:15-10:00, Kleiner Hörsaal (Wegelerstr. 10)

Stefan Schwede

Endenicher Allee 60, room 4.008

Email : schwede (at) math.uni-bonn.de

Benjamin Böhme

Endenicher Allee 60, room 4.006

Email : boehme (at) math.uni-bonn.de

### Topics

Stable homotopy theory: orthogonal spectra, stable homotopy groups, stable homotopy category,
triangulated structure, derived smash product, examples of spectra
and cohomology theories

Text books:

- J. F. Adams, *Stable homotopy and generalised homology*.
Reprint of the 1974 original. Chicago Lectures in Mathematics.
University of Chicago Press, Chicago, IL, 1995. x+373 pp.

- R. M. Switzer, *Algebraic topology - Homology and homotopy*.
Reprint of the 1975 original. Classics in Mathematics.
Springer-Verlag, Berlin, 2002. xiv+526 pp.

- S. Schwede, *Symmetric spectra*, book project,
download here

### Prerequisites

Preresquisites for this class are the contents of the classes Topology 1-2 and Algebraic Topology 1.
### Exercises

Weekly exercise sheets will be posted on this webpage every monday;
the solutions are due one week later.
The exercise sessions take place Thursdays 8-10 in
seminar room 0.011.

### Exam

The oral exam takes place July 10, 2019.
The second exam takes place September 25, 2019.

*S. Schwede, 15.04.2019
*