| EPSRC Reference: |
GR/M37097/01 |
| Title: |
NEW DIRECTIONS IN THE MODEL THEORY OF HENSELIAN VALUED FIELDS |
| Principal Investigator: |
Macpherson, Professor HD |
| Other Investigators: |
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| Department: |
Pure Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
23 September 1999 |
Ends: |
22 March 2000 |
Value (£): |
13,480
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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(i) Exploration of the Gardener-Schoutens quantifier eliminations for rigid analytic geometry, connections with the work of Lipschitz-Robinson, logical implications of Berkovich's space.(ii) Dissemination and expansion of work by Denef and Loeser on motivic integration, using model theretic ideas of Pas and Macintyre.(iii) Development of P-minimality and C-minimality, and applications to VC-dimension.(iv) Elimination of imaginaries, and independence, in valued fields, and the structure of definable groups.(v) Structures carrying generically a mixture of valuations, derivations, and automorphisms and liftings of generic automorphisms from residue fields.(vi) Applications of P-adic and rigid analytic methods to group theory.
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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.leeds.ac.uk |