Isogenies, power operations, and homotopy theory

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The modern understanding of the homotopy theory of spaces and spectra is organized by the chromatic philosophy, which relates phenomena in homotopy theory with the moduli of onedimensional formal groups. In this paper, we describe how certain phenomena K(n)-local homotopy can be computed from knowledge of isogenies of deformations of formal groups of height n.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
PublisherKYUNG MOON SA Co. Ltd.
Number of pages21
ISBN (Electronic)9788961058056
StatePublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: Aug 13 2014Aug 21 2014

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014


Conference2014 International Congress of Mathematicans, ICM 2014
Country/TerritoryKorea, Republic of


  • Formal groups
  • Homotopy theory
  • Power operations

ASJC Scopus subject areas

  • Mathematics(all)


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