Discovery Early Career Researcher Award - Grant ID: DE150101161

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE150101161

Funding Status
Closed

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Funded Activity Summary

Quantum Groups and Categorification in Geometric Representation Theory. Representation theory, the mathematical study of symmetry, has applications in diverse areas such as particle physics, computer science, and molecular biology. This project aims to use a new family of quantum groups to prove a network of conjectures about categorical and geometric representation theory. The project aims to answer a long-standing open question in geometric representation theory concerning two families of geometric spaces underlying the theory of Lie groups. Representation theory is a strength of Australian mathematics, and this project aims to undertake pressing research at the forefront of this dynamic field.

Funded Activity Details

Start Date: 01-01-2015

End Date: 30-03-2018

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $330,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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