Discovery Projects - Grant ID: DP220102530

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220102530

Funding Status
Active

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Funded Activity Summary

Lie superalgebra representations: a geometric approach. The concept of a Lie group provides a mathematical underpinning for the idea of symmetry in mathematics, physics and chemistry. The project aims to advance two fundamental problems related to this concept: classification of unitary representations of Lie superalgebras, and the prescribed Ricci curvature problem on Lie groups. The research builds on newly-discovered connections between these problems to achieve exciting progress in their resolution. Outcomes are expected to find applications across a range of fields, such as condensed matter physics, particle physics, quantum field theory and knot theory. Anticipated benefits include stronger links between different areas of science achieved through a deeper understanding of symmetry.

Funded Activity Details

Start Date: 01-07-2022

End Date: 30-06-2025

Funding Scheme: Discovery Projects

Funding Amount: $313,000.00

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

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