Discovery Projects - Grant ID: DP170103265

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP170103265

Funding Status
Active

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Funded Activity Summary

Quadratic fusion categories: A frontier in subfactor theory. This project aims to investigate the quantum symmetries of the quadratic fusion categories. Fusion categories are mathematical structures that generalise the symmetries of finite groups. These structures arise as invariants of subfactors in operator algebras and in mathematical models of conformal field theory. The quadratic fusion categories encompass most known subfactors that do not come from finite or quantum groups and form a vast frontier about which little is known. By uncovering the symmetries of the quadratic fusion categories, the project will advance subfactor theory and provide new models for conformal field theory. Progress in these fields will have applications to the emerging technology of quantum computing.

Funded Activity Details

Start Date: 01-01-2017

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $318,143.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Algebraic Structures in Mathematical Physics | Operator Algebras and Functional Analysis | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Algebraic Structures in Mathematical Physics | Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Operator Algebras and Functional Analysis | Pure Mathematics

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