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Title:A small presentation for Morava E-theory power operations
Author(s):Nelson, Peter D.
Director of Research:Rezk, Charles
Doctoral Committee Chair(s):McCarthy, Randy
Doctoral Committee Member(s):Ando, Matthew; Malkiewich, Cary
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(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.
Issue Date:2016-07-13
Type:Thesis
URI:http://hdl.handle.net/2142/92811
Rights Information:Copyright 2016 Peter Nelson
Date Available in IDEALS:2016-11-10
Date Deposited:2016-08


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