| EPSRC Reference: |
GR/S48424/02 |
| Title: |
Hierachies of Integrable Partial Differential Equations and Gomov-Witten Invariants |
| Principal Investigator: |
Mazzocco, Professor 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: |
First Grant Scheme Pre-FEC |
| Starts: |
01 February 2005 |
Ends: |
31 January 2006 |
Value (£): |
62,774
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Physics |
| Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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Physical phenomena are generally described by differential equations. These are usually very difficult or impossible to solve. Nevertheless there is a special class of differential equations which are solvable in some sense. They are called integrable. When we manage to describe a physical phenomenon by an integrable differential equation we can understand and often predict its behaviour. Topological Quantum Field Theory is derived from a physical theory that incorporates general relativity and quantum physics. It can be tested on pure mathematical objects and we plan to prove a conjecture originating with the physicist Witten. The structure of the project involves the joint effort of three mathematicians, Dr M. Mazzocco (Cambridge University) as Principal Investigator, Prof. Y. Shang (Tsinghua University, China) as a Visiting Fellow and Dr G. Carlet (SISSA, Trieste, Italy) as a Research Assistant. The total amount needed is 111,568.
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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 |