Discovery Projects - Grant ID: DP210100251

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP210100251

Funding Status
Active

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Funded Activity Summary

New constructions and techniques for tensor categories. The goal of this project is to make fundamental advances in the structure theory of tensor categories. Such categories play crucial roles in numerous fields of mathematics, physics and beyond. New methods, theory and examples will be developed, inspired by algebra, representation theory and geometry. These will then be applied in the foundational study of tensor categories for (dis)proving several of the most important open conjectures in the field. This will open new perspectives for applications in other areas, most notably in representation theory. Other benefits include enhanced international collaboration and scientific capacity in Australia.

Funded Activity Details

Start Date: 01-01-2022

End Date: 31-12-2024

Funding Scheme: Discovery Projects

Funding Amount: $422,887.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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

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