| EPSRC Reference: |
EP/D057590/1 |
| Title: |
Numerical Methods in Complex Differential Geometry |
| Principal Investigator: |
Donaldson, Professor S |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 May 2006 |
Ends: |
30 September 2009 |
Value (£): |
172,479
|
| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Physics |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The project brings together two areas of mathematics. One is connected to Einstein's equations in Relativity. These are very complicated and the search for solutions has been a major problem for nearly a century. The other area involves algebraic equations defining curves, surfaces and higher dimensional generalisations. The project will implement new and elegant numerical algorithms on a computer to find the coefficients in algebraic equations which define good approximations to solutions of certain variants of Einstein's equations, particularly relevant in String theory .
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.imperial.ac.uk |