Discovery Projects - Grant ID: DP140103239

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP140103239

Funding Status
Closed

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Funded Activity Summary

Super Duality and Deformations in the Representation Theory of Lie Superalgebras. Supersymmetry has remained in a central stage of fundamental research in both physics and mathematics for the last forty years. It is currently being tested by experiments of massive scales conducted on the Large Hadron Collider at CERN in Geneva. The present project aims to create new mathematical concepts and techniques for addressing fundamental issues of supersymmetry. Expected outcomes include new types of Bose-Fermi correspondence, a deformation theory of Lie superalgebra representations, algebraic and geometric treatments of Jantzen filtration of parabolic Verma modules of Lie superalgebras, and quantum field theoretical models for the topological invariants of knots and 3-manifolds arising from quantum supergroups.

Funded Activity Details

Start Date: 01-01-2014

End Date: 31-12-2017

Funding Scheme: Discovery Projects

Funding Amount: $360,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Group Theory and Generalisations | Algebraic Structures in Mathematical Physics | Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Algebraic Structures in Mathematical Physics | Expanding Knowledge in the Mathematical Sciences | Expanding Knowledge in the Physical Sciences | Group Theory and Generalisations | Pure Mathematics

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