| EPSRC Reference: |
GR/R32055/01 |
| Title: |
Determining the depth of Modular Invariant Rings |
| Principal Investigator: |
Fleischmann, Professor P |
| Other Investigators: |
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| Department: |
Sch of Maths Statistics & Actuarial Sci |
| Organisation: |
University of Kent |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
13 August 2001 |
Ends: |
12 September 2001 |
Value (£): |
1,968
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Systems of polynomial equations describe geoemetric objects in a way, independent from our limited ability to visualize. Those properties, which are independent of chosen coordinates, are reflected in symmetries of the polynomials, the study of which is the main theme of invariant theory. While classical invariant theory of finite groups mainly considered polynomials with complex coefficients, new applications in geometry and topology call for results, valid for modular fields whose characteristic divides the group order. In this situation invariant rings are not necessarily Cohen - Macaualay rings. The degree to which this fails is measured by the 'depth' of the invariant ring. Determining this depth is one of the most interesting but also difficult tasks in modular invariant theory. New methods for this problem have emerged recently in the work of the two investigators at Kent and the proposed visiting fellow.A joint effort to combine these techniques in a direct cooperation at Kent is the best forward to achieve further breakthroughs in determining the depth of invariant rings.
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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.kent.ac.uk |