Discovery Projects - Grant ID: DP150103525

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP150103525

Funding Status
Closed

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Funded Activity Summary

Geometric methods in representation theory and the Langlands program. This research project aims to study questions in representation theory of groups using geometric methods. A central role is played by Langlands program which, broadly understood, can be viewed as a grand unified theory of mathematics. One setting for the work is modular representation theory with the aim of understanding irreducible characters. The project also aims to work on combinatorics and geometry in algebraic groups in small characteristics and one goal is to obtain a more uniform geometric understanding across all characteristics. The project also aims to work in the context of real groups and with the Gukov-Witten "fix of the orbit method" via branes. Finally, the project expects to begin a study of deformations of Galois representations in a general context.

Funded Activity Details

Start Date: 01-01-2015

End Date: 31-12-2022

Funding Scheme: Discovery Projects

Funding Amount: $619,900.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | 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 | Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics

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