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Details of Grant 

EPSRC Reference: GR/N17188/01
Title: EQUIVARIANT ELLIPTIC COHOMOLOGY AND CLASS FIELD THEORY
Principal Investigator: Strickland, Professor N
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics and Statistics
Organisation: University of Sheffield
Scheme: Standard Research (Pre-FEC)
Starts: 01 November 2000 Ends: 31 October 2002 Value (£): 77,246
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The generalised character theory of Hopkins, Kuhn and Ravenel relates the topology of classifying spaces of finite groups to the Galois theory of some very large and complicated rings. We propose to study a modified theory that relates topology to the Galois theory of extensions of number fields, which is much simpler. We will specialise to a situation where the relevant extensions are Abelian and can be analysed using class field theory and the arithmetic of elliptic curves.
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Organisation Website: http://www.shef.ac.uk