| EPSRC Reference: |
EP/I020519/1 |
| Title: |
TOPOLOGICAL MIRROR SYMMETRY |
| Principal Investigator: |
Kim, Professor M |
| Other Investigators: |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research |
| Starts: |
01 October 2011 |
Ends: |
30 September 2013 |
Value (£): |
156,985
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Dualities in theoretical physics are important tools to gain information on a physical model from its proposed duality with another typically more accessible physical theory. One such duality is mirror symmetry, which is a duality theory stemming from string theory. The mathematical implications of this duality are manifold. In the proposed project we are interested in relating these mathematical implications with ideas coming from number theory and representation theory. Namely, we propose to find patterns in the character tables of some finite matrix groups which explain this mirror symmetry from the perspective of Langlands duality. This latter is a vast program in modern number theory which in a special case implies Fermat's Last Theorem by the work of Andrew Wiles. In this proposal we are connecting via the study of the character tables of finite matrix groups, these two seemingly far dualities: mirror symmetry in string theory, and Langlands duality in number 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 |
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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.ox.ac.uk |