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Title:Transchromatic generalized character maps
Author(s):Stapleton, Nathaniel J.
Director of Research:Rezk, Charles
Doctoral Committee Chair(s):Ando, Matthew
Doctoral Committee Member(s):Rezk, Charles; McCarthy, Randy; Schenck, Henry K.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Algebraic Topology
Stable Homotopy Theory
Generalized Cohomology Theory
p-Divisible Group
Barsotti-Tate Group
Morava E-theory
Abstract:In "Generalized Group Characters and Complex Oriented Cohomology Theories", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings of the form E^*(BG). In this paper we use the geometry of p-divisible groups to describe a sequence of "intermediate" character theories that retain more information about the cohomology theory E and yield the related result of Hopkins, Kuhn, and Ravenel as a special case.
Issue Date:2011-08-25
URI:http://hdl.handle.net/2142/26269
Rights Information:Copyright 2011 Nathaniel Stapleton
Date Available in IDEALS:2011-08-25
Date Deposited:2011-08


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