Director of Research (if dissertation) or Advisor (if thesis)
Rezk, Charles
Doctoral Committee Chair(s)
Ando, Matthew
Committee Member(s)
Rezk, Charles
McCarthy, Randy
Schenck, Henry K.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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."
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