Discovery Early Career Researcher Award - Grant ID: DE150101647

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/API/grants/DE150101647

Funding Status
Closed

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Funded Activity Summary

Symplectic solvmanifolds and their friends. Symplectic geometry is the mathematical foundation of classical mechanics and quantum theory. The symmetry group of a physical system determines the conservation laws governing its behaviour. This project aims to advance the understanding of a large class of these symmetry groups and their associated symplectic geometries, which are called symplectic solvmanifolds. The project aims to: determine the topological properties of symplectic solvmanifolds as encoded in their fundamental groups; their geometric properties in the form of holonomy groups; and the algebraic properties of their symplectic algebras. The project endeavours to classify the building blocks of symplectic geometry.

Funded Activity Details

Start Date: 2015

End Date: 12-2018

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $330,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory | Pure Mathematics | Algebraic and Differential Geometry

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

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