This is a course on stable homotopy theory, with the aim of getting people comfortable with spectra in a rigorous way. It will be conducted over Zoom for an hour a week, at a time to be determined (probably in the evening). We will start in early February and go until we get tired.
Here's the outline of the course (subject to change depending on student interest). The main references are Barnes and Roitzheim's Foundations of Stable Homotopy Theory, and part III of Adams's Stable Homotopy and Generalized Homology.
Videos will show up on this Youtube playlist.
If you're interested in the course, please contact me at pvankoug AT purdue DOT edu and I'll let you know how to join.
Notes for the talks (all mine unless stated otherwise):
- Lecture 1
- Lecture 2
- Lecture 3 -- no notes
- Lecture 4 (Ivo Vekemans)
- Lecture 5 -- no notes
- Lecture 6 (D. Zack Garza)
- Lecture 7
- Lecture 8
- Lecture 9
- Lecture 10 (only partial notes, due to technical issues)
Caleb Ji has also been typing notes.