Discovery Projects - Grant ID: DP240101084

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP240101084

Funding Status
Active

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Funded Activity Summary

Stability conditions: their topology and applications. This project aims to answer questions about the topology of the space of stability conditions, which has emerged as a central object in a number of different mathematical areas in the past two decades. The proposed work will have important consequences in representation theory, group theory, and algebraic geometry. The project shows that tools from previously unrelated areas, including discontinous differential equations and discrete dynamical systems, are crucial in the theory of stability conditions. Potential benefits include the resolution of outstanding conjectures in mathematics, the initiation of new connections between different areas of mathematics, and the introduction of machine learning techniques into mathematical research.

Funded Activity Details

Start Date: 01-01-2024

End Date: 31-12-2026

Funding Scheme: Discovery Projects

Funding Amount: $419,421.00

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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