ARC Future Fellowships - Grant ID: FT160100018

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT160100018

Funding Status
Active

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Funded Activity Summary

Representations of arithmetic groups and their associated zeta functions. This project aims to investigate deep connections between number theory and group theory by studying linear actions of arithmetic groups. Arithmetic groups are used in geometry, dynamics, number theory and other areas of pure mathematics. This project will study their representations from two perspectives. First, it will establish properties of the associated zeta functions to resolve open problems about the asymptotic behaviour of the dimensions of the irreducible representations. Second, it will explore the evolution of representations across families of groups under new induction and restriction functors, in analogy with creation and annihilation operators in physics. The project will enhance Australia's capacity in representation theory and group theory, the mathematics that underline symmetry in nature.

Funded Activity Details

Start Date: 01-03-2017

End Date: 30-06-2023

Funding Scheme: ARC Future Fellowships

Funding Amount: $776,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Group Theory and Generalisations | Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Pure Mathematics

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