Discovery Projects - Grant ID: DP170101579

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP170101579

Funding Status
Closed

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Funded Activity Summary

Modular character sheaves. This project aims to complete the fundamental mathematical theory of modular group representations, the algebraic description of symmetry over finite number systems. Group representation theory can be applied to any linear problem involving symmetry. However, the modular case, where the characteristic of the underlying field is a prime number, is less understood than real or complex scalars, and this lack of understanding blocks potential applications. This project will use geometric methods to answer questions about modular representations of the finite groups of Lie type, the most important class of finite groups. This project could make modular representation theory essential for computations, enabling faster solutions to problems of linear algebra and allowing future applications in such areas as data transmission technology.

Funded Activity Details

Start Date: 01-01-2017

End Date: 30-06-2021

Funding Scheme: Discovery Projects

Funding Amount: $345,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Group Theory and Generalisations | Pure Mathematics | Algebraic and Differential Geometry

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Pure Mathematics

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