We will loosely follow the book:
Schwartz, Lionel. Unstable Modules over the Steenrod Algebra and Sullivan’s Fixed Point Set Conjecture. Chicago, IL: University of Chicago Press, 1994. ISBN: 9780226742021.
Suggested readings in Schwartz and other suggested references are provided below.
References
| LEC # | READINGS |
|---|---|
| 2-5 | May, J. P. “A General Algebraic Approach to Steenrod Operations.” Lect Notes Math 168 (1970): 153-231. |
| 6-7 | Schwartz, sections 1.6 and 1.7. |
| 7-10 | Kuhn, N. J. “Generic Representation Theory of the Finite General Linear Groups and the Steenrod Algebra: I.” Amer J Math 116 (1994): 327-360. |
| 12 | Serre, J.-P. “Cohomologie modulo 2 des complexes d’Eilenberg-MacLane.” Commentarii Mathematici Helvetici 27 (1953): 198-231. |
| 13 | Milnor, John. “The Steenrod Algebra and its Dual.” Annals of Mathematics 67 (1958): 150-171. |
| 14 | Schwartz, section 1.7. |
| 15 | Schwartz, section 1.8. |
| 16-20 | Schwartz, chapters 2 and 3. |
| 25 | Dror-Farjoun, E., and J. Smith. “A Geometric Interpretation of Lannes’ Functor T.” Israel J Math 66 (1989). |
| 27 | Mandell, M. “E-infinity Algebras and p -adic Homotopy Theory.” Topology 40 (2001): 43-94. |
| 31-32 | Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes of Dennis Sullivan (PDF - 1.3 MB) |
| 33 | Miller, H. R. “The Sullivan Conjecture on Maps from Classifying Spaces.” Ann of Math 120 (1984): 39-87. |
| 34 | Dwyer, W. G., H. R. Miller, and C. W. Wilkerson. “The Homotopic Uniqueness of BS 3, in ‘Algebraic Topology, Barcelona 1986.’” Lecture Notes in Math 1298 (Springer, Berlin, 1987): 90-105. |
| 35-37 | Schwartz, chapters 5 and 6. |
