ARC Future Fellowships - Grant ID: FT220100125

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT220100125

Funding Status
Active

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Funded Activity Summary

Categorical geometry and perfect group schemes. The aims of this project are to construct novel geometric theories based on newly discovered tensor categories, to apply the theories to solve open problems in representation theory, algebra and category theory, and to establish profitable new connections between the influential theories of affine group schemes and classifying spaces. The geometric theories will be developed in a universal way, generalising both classical algebraic geometry and super geometry from physics, and specialising to infinitely many new theories. This universality ensures a significantly broader basis for long term applications of geometry in many areas of science. Other benefits include enhanced international collaboration and scientific capacity in Australia.

Funded Activity Details

Start Date: 30-06-2023

End Date: 29-06-2027

Funding Scheme: ARC Future Fellowships

Funding Amount: $895,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category theory k theory homological algebra | Algebraic and differential geometry | Algebra and number theory | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebra and number theory | Algebraic and differential geometry | Category theory k theory homological algebra | Expanding Knowledge In the Mathematical Sciences | Pure mathematics

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