Discovery Projects - Grant ID: DP160104912

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP160104912

Funding Status
Closed

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Funded Activity Summary

Subtle Symmetries and the Refined Monster. The project plans to develop a new conceptual framework for the representations and characters of categorical groups. The field of representation theory exploits the symmetries of an object (eg a molecule) in order to facilitate its study. This project aims to investigate the case where the symmetries themselves are related by symmetries. Traditionally often ignored, this subtle but powerful information turns out to be at the heart of various deep phenomena. It is anticipated that the project’s approach recasts and simplifies some important and difficult mathematics, providing a new approach to affine representation theory, to the foundations and symmetries of string theory, and the Refined Monster Conjecture.

Funded Activity Details

Start Date: 30-06-2016

End Date: 31-12-2020

Funding Scheme: Discovery Projects

Funding Amount: $225,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

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

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