Discovery Projects - Grant ID: DP0211367

Funding Activity

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Funded Activity Summary

New Directions in Noncommutative Geometry. A. Connes' noncommutative geometry has recently become important in topology, geometry and physics. The central geometric objects in noncommutative geometry are called spectral triples. Spectral triples also provide the framework for studying some important classes of equations. This project will extend the definitions of spectral triples to cover additional important examples. This extension will provide the tools to study a broad class of boundary value problems in the theory of equations. Such problems occur in several areas of modern physics. In addition, results obtained will be useful for studying the structure of the most important spectral triples, called noncommutative manifolds.

Funded Activity Details

Start Date: 14-01-2002

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $187,118.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Geometry | Pure Mathematics | Functional Analysis |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Functional Analysis | Geometry | Mathematical sciences | Pure Mathematics