| EPSRC Reference: |
GR/R82975/01 |
| Title: |
Local Methods in Arithmetic Geometry |
| Principal Investigator: |
Flynn, Professor EV |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Liverpool |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
16 September 2002 |
Ends: |
15 September 2005 |
Value (£): |
128,308
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Arithmetic Geometry is a blend of Algebraic Geometry and Number Theory, two of the oldest branches of Mathematics in existence, with many centuries of history. Local methods for solving problems in Arithmetic Geometry are a long established part of the area, and have applications to virtually every branch of Mathematics from Algebra through to Mathematical Physics and Computer Security. Many of the fundamental problems in the area can be expressed as questions about local methods, and in particular obstructions to local methods. It is intended to concentrate on curves and surfaces, and to gain insight as to the range of obstructions that can occur.The proposed research will address questions about objects of central importance to Number Theorists, such as the Tate-Shafarevich group and the Manin obstruction. The proposal contains a wide range of levels of difficulties: some of the proposed work involves improving existing techniques, some involves the construction of examples which highlight desired properties (this is a portion of the research designed to be particularly accessible to the Research Associate), and some involves using this body of evidence to develop new theory and conjecture.
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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.liv.ac.uk |