Discovery Projects - Grant ID: DP240101809

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP240101809

Funding Status
Active

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Funded Activity Summary

Categorification and KLR algebras. AIMS This project will solve three problems at the forefront of representation theory: the centre conjecture for graded Hecke algebras, concretely connecting crystals with KLR algebras and describing the grading and radical filtrations Specht modules. SIGNIFICANCE Solving any of these problems will represent a serious advance in the field and have a lasting impact and creating new areas of research. EXPECTED OUTCOMES We will remove major bottlenecks in our understanding of KLR algebras. BENEFITS In addition to the mathematical benefits, the skills and expertise that are required for, and will be enhanced by, this project are readily transferable and highly sought after by industry, including the financial, IT and education sectors.

Funded Activity Details

Start Date: 01-01-2024

End Date: 31-12-2026

Funding Scheme: Discovery Projects

Funding Amount: $524,369.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Group theory and generalisations | Combinatorics and discrete mathematics (excl. physical combinatorics) | Algebra and number theory | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebra and number theory | Combinatorics and discrete mathematics (excl. physical combinatorics) | Expanding Knowledge In the Mathematical Sciences | Group theory and generalisations | Pure mathematics

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