Links
The 2013 Talbot Workshop
MIT's Pre-Talbot Seminar
References
- Bousfield localization. Localization of spectra with respect to a cohomology theory. Localization at a prime, p-completion.
- Bousfield's seminal and readable original paper: A. K. Bousfield, The localization of spectra with respect to homology, Topology 18 (1979), no. 4, 257--281. MR 551009 (80m:55006)
- Chapter 7 of Ravenel's orange book: Nilpotence and periodicity in stable homotopy theory, Annals of Mathematics Studies, vol. 128, Princeton University Press, Princeton, NJ, 1992
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Tilman Bauer's survey in the 2007 Talbot proceedings (Chapter 7:The Hasse Square)
- Complex cobordism, Formal groups, and BP. Definition and examples of formal groups, Quillen's theorem relating MU to the Lazard ring, p-typical formal groups, BP.
- The canonical reference is Part II of Adams' Chicago notes: Stable homotopy and generalised homology, University of Chicago Press, Chicago, Ill., 1974, Chicago Lectures in Mathematics..
- Appendix B of Ravenel's Green book [Rav86],
- Appendix B of Ravenel's Orange book [Rav92].
- Adams and Adams-Novikov spectral sequences. Here the prerequisite is a more superficial knowledge of what an Adams spectral sequence is (or more pre- cisely, the generalized Adams-Novikov spectral sequence associated to a cohomology theory E). We do not expect folks actually know how to compute with these things.
- Section A.6 of Ravenel's orange book [Rav92],
- part III of Adams' Chicago notes : Stable homotopy and generalised homology, University of Chicago Press, Chicago, Ill., 1974, Chicago Lectures in Mathematics.
- Chapter 2 (and other parts) of Ravenel's Green book [Rav86],
- convergence is nicely treated at the end of Bousfield's paper: A. K. Bousfield, The localization of spectra with respect to homology, Topology 18 (1979), no. 4, 257--281. MR 551009 (80m:55006)
- Haynes Miller's paper gives a unique homological perspective: Haynes R. Miller, On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space, J. Pure Appl. Algebra 20 (1981), no. 3, 287-- 312. MR 604321 (82f:55029)