Nilpotence and Descent in Stable Homotopy Theory
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AbstractWe study various applications of the ideas of descent and nilpotence to stable homotopy theory. In particular, we give a descent-theoretic calculation of the Picard group of topological modular forms and we prove a partial analog of Thomason’s etale descent theorem in the algebraic K-theory of ring spectra. In addition, we prove thick subcategory theorems for certain ring spectra and give a new proof of a classical result of Dade on endotrivial modules for abelian p-groups.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:40046422
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