Discovery Projects - Grant ID: DP230103184

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP230103184

Funding Status
Active

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Funded Activity Summary

Graded Symmetry in Algebra and Analysis. This project will study graded symmetries in mathematics by modelling them as groupoids and inverse semigroups. Groupoids have been at the centre of mathematical interest for a long time, but have gained special prominence in recent years as a focal point for algebra, analysis and dynamics. The majority of groupoids can be naturally graded. The project introduces graded combinatorial invariants for groupoids (such as graded homology) and relates them to their Steinberg and C*-algebra counterparts (such as graded K-theory). The outcome is to give sought-after unified invariants bridging algebra and analysis, and to exhaust the class of groupoids for which these much richer invariants will furnish a complete classification.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Projects

Funding Amount: $417,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Operator algebras and functional analysis | Category theory k theory homological algebra | Algebra and number theory | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebra and number theory | Category theory k theory homological algebra | Expanding Knowledge In the Mathematical Sciences | Operator algebras and functional analysis | Pure mathematics

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