| EPSRC Reference: |
EP/L026481/1 |
| Title: |
The geometry of groups and homomorphisms |
| Principal Investigator: |
Wilton, Dr HJR |
| Other Investigators: |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research |
| Starts: |
01 January 2015 |
Ends: |
30 June 2018 |
Value (£): |
284,364
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
This project is about using geometry to understand relationships between groups. A 'group' is the technical mathematical term for a collection of symmetries, and relationships between groups are the 'homomorphisms' of the project title. We will try to understand fundamental, unanswered questions like:
- 'When can we embed one group of symmetries in another?';
- 'What do the finite groups that a group relates to tell us about it?';
and
- 'Can we classify all the relationships between a group and 3-dimensional spaces?'
Answers to these questions will deepen our understanding of the abstract geometric spaces on which these groups of symmetries act. Although these questions come from within pure mathematics, the tools that we will develop to answer them can also potentially be applied to abstract spaces that arise in other, more applicable, disciplines, such as biology or data analysis.
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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.cam.ac.uk |