| 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: |
|
| 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.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.shef.ac.uk |