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Transchromatic generalized character maps

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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
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
Rights Information: Copyright 2011 Nathaniel Stapleton
Date Available in IDEALS: 2011-08-25
Date Deposited: 2011-08

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