Discovery Projects - Grant ID: DP180102185

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP180102185

Funding Status
Active

Does something not look right? The information on this page has been harvested from data sources that may not be up to date. We continue to work with information providers to improve coverage and quality. To report an issue, use the .

Funded Activity Summary

The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interplay between geometry and algebra to provide new insight into the physically significant problem of classifying unitary Lie algebra representations. This project is expected to facilitate interdisciplinary interaction leading to exciting developments across a range of fields.

Funded Activity Details

Start Date: 01-01-2018

End Date: 30-12-2022

Funding Scheme: Discovery Projects

Funding Amount: $312,438.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Algebraic Structures in Mathematical Physics | Pure Mathematics | Algebraic and Differential Geometry

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic Structures in Mathematical Physics | Algebraic and Differential Geometry | Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics

Related Links