Discovery Projects - Grant ID: DP180102437

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP180102437

Funding Status
Active

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Funded Activity Summary

Affine flags, folded galleries and euclidean reflection groups. This project aims to answer important geometric questions about subvarieties of the affine flag variety which are fundamental to algebraic geometry and number theory. It will answer basic questions about these central objects of mathematics, affine flags and their subspaces, using powerful new methods which combine ideas from geometry and algebra. The project expects to include finding the patterns of non-emptiness of these subvarieties and formulae for their dimension. It will develop and apply new methods which combine folded galleries and the geometry of Euclidean reflection groups, and these methods will have applications in algebraic combinatorics and representation theory. The project will also inspire productive connections between geometric group theory, a new and fast-growing area, and the classical fields of algebraic geometry, algebraic combinatorics and representation theory.

Funded Activity Details

Start Date: 18-09-2018

End Date: 31-07-2023

Funding Scheme: Discovery Projects

Funding Amount: $317,288.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | 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 | Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics

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