Multiplicative Orientations of K -Theory and P-Adic Analysis
Walker, Barry John
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https://hdl.handle.net/2142/86917
Description
Title
Multiplicative Orientations of K -Theory and P-Adic Analysis
Author(s)
Walker, Barry John
Issue Date
2008
Doctoral Committee Chair(s)
Rezk, Charles
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
Recent work of Ando, Blumberg, Gepner, Hopkins and Rezk characterize Einfinity orientations of K-Theory. Their description involves producing measures on the p-adic units with certain moments. In his thesis, Ando produced a criterion for an orientation to be Hinfinity. His theorem is a condition on the induced formal group law. We connect these two classifications by producing measures of the type above whenever Ando's criterion is satisfied.
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