Transchromatic generalized character maps

"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."

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Stapleton, Nathaniel J.

Contributors dc:contributor

• Rezk, Charles
• Ando, Matthew
• McCarthy, Randy
• Schenck, Henry K.

• Algebraic Topology
• Stable Homotopy Theory
• Generalized Cohomology Theory
• p-Divisible Group
• Barsotti-Tate Group
• Morava E-theory

Statement dc:rights

• Copyright 2011 Nathaniel Stapleton

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/26269

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/26269