University of Illinois Urbana-Champaign

A small presentation for Morava E-theory power operations

Nelson, Peter D.

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https://hdl.handle.net/2142/92811

Description

Title
A small presentation for Morava E-theory power operations
Author(s)
Nelson, Peter D.
Issue Date
2016-07-13
Director of Research (if dissertation) or Advisor (if thesis)
Rezk, Charles
Doctoral Committee Chair(s)
McCarthy, Randy
Committee Member(s)
  • Ando, Matthew
  • Malkiewich, Cary
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • Power Operations
  • Morava E-Theory
Abstract
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0 of a K(h)-local E∞-E-algebra in terms of a small amount of algebraic data. This involves only the E-cohomology of two groups, namely the symmetric groups on p and p2 letters. Along the way, we also define and explore a notion of coquadratic comonad.
Graduation Semester
2016-08
Type of Resource
text
Permalink
http://hdl.handle.net/2142/92811
Copyright and License Information
Copyright 2016 Peter Nelson

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