Discovery Projects - Grant ID: DP200100067

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP200100067

Funding Status
Active

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Funded Activity Summary

Physical realisation of enriched quantum symmetries. This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory. The main goal is to understand the landscape of topological and conformal field theories, laying the foundation for new technologies based on topological order. This timely project capitalises on the recent arrival of subfactor experts in Australia, and builds capacity in mathematical research and international links in a cutting edge field.

Funded Activity Details

Start Date: 20-12-2020

End Date: 18-12-2024

Funding Scheme: Discovery Projects

Funding Amount: $340,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Operator Algebras and Functional Analysis | Pure Mathematics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory |

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 | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Operator Algebras and Functional Analysis | Pure Mathematics

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