Discovery Projects - Grant ID: DP220102861

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220102861

Funding Status
Active

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Funded Activity Summary

New frontiers in the theory of noncommutative surfaces. In the 90s, Artin launched his school of noncommutative algebraic geometry, where novel geometric methods were used to profoundly deepen our understanding of the classical subject of noncommutative algebra. This project aims to advance this theory by establishing several new frontiers in the theory of noncommutative surfaces. This project expects to develop new methods involving sheaf theory, Mori's minimal model program and moduli stacks, to study in particular, Artin's classification problem for noncommutative surfaces. Expected outcomes include a much richer geometric understanding of noncommutative algebra. This project should help ensure Australia plays a leading role in important developments in both algebra and algebraic geometry.

Funded Activity Details

Start Date: 01-07-2022

End Date: 01-07-2025

Funding Scheme: Discovery Projects

Funding Amount: $426,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Pure Mathematics | Algebraic and Differential Geometry | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

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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