Nilpotence notes

I have just finished giving an Algebraic Topology 3 course at University of Oslo. Lecture notes are available here. They cover roughly the following:

• Some elementary stable homotopy theory
• Spectral sequences
• The Adams spectral sequence
• MU and its homotopy groups
• Synthetic spectra
• The Nishida nilpotence theorem
• Burklund’s proof of the Devinatz-Hopkins-Smith nilpotence theorem
• The thick subcategory and periodicity theorems