Readings

We will loosely follow the book:

Amazon logo 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 (This resource may not render correctly in a screen reader.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.