A transchromatic proof of Strickland's theorem

Tomer M. Schlank, Nathaniel Stapleton*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In [15] Strickland proved that the Morava E-theory of the symmetric group has an algebro-geometric interpretation after taking the quotient by a certain transfer ideal. This result has influenced most of the work on power operations in Morava E-theory and provides an important calculational tool. In this paper we give a new proof of this result as well as a generalization by using transchromatic character theory. The character maps are used to reduce Strickland's result to representation theory.

Original languageAmerican English
Pages (from-to)1415-1447
Number of pages33
JournalAdvances in Mathematics
Volume285
DOIs
StatePublished - 5 Nov 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

  • Character theory
  • Chromatic homotopy
  • Morava E-theory

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