Discovery Projects - Grant ID: DP0346047

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0346047

Funding Status
Closed

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Funded Activity Summary

Invariants of higher-dimensional categories, with applications. Complex systems in mathematics are difficult to tell apart so one constructs simpler structures from them. These structures must be equal, isomorphic or equivalent when the original systems are equivalent; the word invariant is used for such constructions. Higher-dimensional categories are complex structures that are currently gaining a lot of attention from mathematicians, physicists and computer scientists because of developing applications in those fields. This project will establish and study invariants for higher-dimensional categories which will be tested by examining their viability for producing results in group theory and homotopy theory.

Funded Activity Details

Start Date: 01-01-2003

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $220,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Category Theory, K Theory, Homological Algebra

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Category Theory, K Theory, Homological Algebra | Mathematical sciences | Pure Mathematics

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