Lecture Schedule (at Evans 762, Thursdays 11:00am – 12:30pm)

1. 01/29: Joe Hlavinka, Overview and Goals
2. 02/06: Ward Veltman, The Pontryagin-Thom Isomorphism
3. 02/13: Jacob Erlikhman, More on Pontryagin-Thom: The Electric Field
4. 02/20: Zechen Bian, Basics of the Stable Homotopy Category
5. 02/27: Joe Hlavinka, Algebra in the Stable Homotopy Category
6. 03/06: Gabriel Beiner, Generalized Cohomology Theories and the Atiyah-Hirzebruch Spectral Sequence
7. 03/13: Gabriel Beiner, More on the Atiyah-Hirzebruch Spectral Sequence
8. 03/20: Swapnil Garg, The Adams Spectral Sequence
9. 04/10: Joe Hlavinka, Bousfield Localization of Spectra
10. 04/17: John Nolan, K-Theory
11. 04/24: Swapnil Garg, The Adams-Novikov Spectral Sequence
12. 05/01: Kabir Kapoor, Quillen's Theorem I

References (to be updated...)

1. Adams, Stable Homotopy and Generalized Homology
2. Lurie, Higher Algebra
3. Milnor, Topology from the Differentiable Viewpoint
4. Peterson, Formal Geometry and Bordism Operations
5. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres
6. Thomason, Symmetric Monoidal Categories Model All Connective Spectra

Lecture Notes (thanks to John Nolan)