| EPSRC Reference: |
EP/H043349/1 |
| Title: |
Workshop 'Expansion in Groups' April 2010 |
| Principal Investigator: |
Nikolov, Dr N |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research |
| Starts: |
01 March 2010 |
Ends: |
31 July 2010 |
Value (£): |
15,333
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The purpose of this proposal is to organize a two day workshop on expansion in groups in Imperial College in April 2010. This will be the first meeting on expansion held in the UK and one of its main aims is to popularize this rapidly evolving subject to the UK mathematical community. Expander graphs have proved to be an immensely useful concept, both in Pure Mathematics and in Computer Science. On one hand they provide models for efficient and robust networks and very fast algorithms for solving computational problems. On the other hand expanders and more generally expansion properties in groups have been the subject of much recent research in Pure Mathematics involving tools from group theory, combinatorics, representation theory, analysis and number theory. More concretely deep connections have emerged between expansion and properties of generating sets of simple groups, sum-product results in additive combinatorics, 3-dimensional topology, measurable group theory. One cannot help but think that the major results in this area are still to be discovered. Some of the leading experts have already accepted to speak and attending Ph. D. students will be exposed to the latest methods spanning a large selection of topics. The other aim of the workshop is to stimulate discussion among its participants and further research in this exciting area.
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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: |
http://www2.imperial.ac.uk/~nnikolov/expansion/ |
| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |