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Explore the intricacies of the periodic Morava E-theory, focusing on the construction and properties of the Goodwillie tower and Dyer-Lashof algebra. Delve into the Bousfield-Kuhn functor and the modular isogeny complex, with a proof of the "Pre-thm" in context. This in-depth study will illuminate the layers of Morava E-theory, providing valuable insights for theoretical research.
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Morava E-theory of the Goodwillie tower Mark Behrens* (MIT) and Charles Rezk (UIUC)