| EPSRC Reference: |
GR/R94114/01 |
| Title: |
Ziegler and Zariski spectra of triangulated categories |
| Principal Investigator: |
Prest, Professor M |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
Victoria University of Manchester, The |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
08 May 2002 |
Ends: |
07 November 2002 |
Value (£): |
8,149
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Logic & Combinatorics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The Ziegler and Zariski spectra of categories of modules have found a variety of applications, especially in the context of categories of representations of finite-dimensional algebras. The theory associated to these spaces applies in any locally finitely presented Grothendieck abelian category. A main aim of the project is to extend this theory to compactly generated triangulatedcategories. Triangulated categories arose in algebraic topology, but, especially recently, they are finding increasing and widening applications in algebra. Some initial steps have been taken to develop the theory around Ziegler spectra in the context of triangulated categories but the major part of the theory is undeveloped.
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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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