| EPSRC Reference: |
GR/A00062/01 |
| Title: |
SF: INVARIANTS OF TAME ACTIONS ON ARITHMETIC SCHEMES |
| Principal Investigator: |
Taylor, Professor Sir M |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Manchester, The |
| Scheme: |
Senior Fellowship (Pre-FEC) |
| Starts: |
01 April 2000 |
Ends: |
31 August 2004 |
Value (£): |
266,474
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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This proposal is concerned with the Galois structure of various families of fundamental arithmetic and arithmetic geometric objects. The underlying theme of this whole programme of research concerns the relationship between refined Euler characteristics and analytic invariants known as root numbers (or c-constants). This programme of work has now successfully extended some very elegant and powerful results from algebraic number fields to higher dimensional arithmetic varieties. These results have now opened up a whole new range of important questions. This proposal is concerned with three of the most, exciting of these problems: to use Arakelov theory to develop a higher dimensional Galois hermitian theory; to extend the existing theory to deal with a much wider class of complexes of differentials; to determine the Stiefel- Whitney classes of certain natural arithmetic unimodular quadratic bundles. This is therefore a very topical programme of research which deals with a family of deep, central problems in arithmetic geometry.
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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.man.ac.uk |