| EPSRC Reference: |
GR/J63705/01 |
| Title: |
SERRE'S CONJECTURE OVER IMAGINARY QUADRATIC FIELDS |
| Principal Investigator: |
Taylor, Dr R |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 June 1994 |
Ends: |
31 May 1996 |
Value (£): |
10,068
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Summary on Grant Application Form |
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In 1987 Serre made several conjectures about odd mod 1 representations of Gal ( ) and mod 1 modular forms. There has been a lot of work on this subject and Serre's conjecture gave rise to a lot of research on Galois representation and congruences between modular forms.The purpose of this proposal is to investigate a possible generalization of Serre's conjecture to imaginary quadratic fields. The co-applicant is working for a Ph.D under the supervision of the principal applicant and is looking for numerical evidence for this question. He is currently working on modifying a computer package John Cremona at Exeter University has created to calculate modular forms. The applicants work so far has clearly indicated the need for a a large amount of computation time on high speed processors; this can only be provided by a dedicated workstation as the Department presently has only 2 workstations for general use and these are shared by all researchers.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.cam.ac.uk |