| EPSRC Reference: |
EP/V036017/1 |
| Title: |
Cohomology and Actions of Groups |
| Principal Investigator: |
Symonds, Professor P |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Manchester, The |
| Scheme: |
Standard Research |
| Starts: |
01 June 2021 |
Ends: |
31 May 2024 |
Value (£): |
415,741
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
A very classical thing to study, going back to the Ancient Greeks, is the symmetries of an object. In the abstract these are known as groups; they can be very complicated and difficult to understand. There are many ways of investigating these abstract groups of symmetries and trying to impose some order on them; one of these is to associate to the group a new algebraic invariant, of which cohomology is a prime example.
However, these new invariants can be very difficult to understand, or even to calculate, partly because they are infinite. By using a quantity called the regularity it is possible to show that these infinite objects are controlled by a specific finite part of themselves and they then become much easier to deal with.
This project aims to make these techniques available for much larger classes of groups than before and, in so doing, obtain much more detailed information about the structure of these groups and their cohomology.
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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 |