Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP140100158
Funding Status
Closed
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Funded Activity Summary
Moduli spaces of geometric structures. One of the most spectacular recent advances in mathematics was Perelman's resolution of Thurston's geometrisation program for three-dimensional spaces. This makes it very important to understand sets of geometric structures on such spaces, called moduli spaces. The challenge of this project is to develop practical methods to compute moduli spaces, understand their global properties, and use them to define new invariants giving insights about shape, geometry and algebra of a space. This is a key problem as moduli spaces describe whether a space is rigid or can be deformed. They are a central object in several fields of mathematics, including geometry and topology, gauge theory, dynamical systems, mathematical physics and invariant theory.Funded Activity Details
Start Date: 06-2014
End Date: 08-2017
Funding Scheme: Discovery Projects
Funding Amount: $270,000.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Pure Mathematics | Algebraic and Differential Geometry | Topology
