Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP200100729
Funding Status
Active
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Funded Activity Summary
Coarse Geometry: a novel approach to the Callias index & topological matter. Coarse geometry is the study of the large-scale structure of metric spaces, in terms of operator algebras. This project aims to use coarse geometry to develop novel approaches to Callias index theory and its applications, and to topological phases of matter, where the Nobel Prize in physics in 2016 was awarded. This will yield new techniques in index theory and other areas, and solutions to several important problems. Outcomes include a noncompact generalisation of the famous Guillemin-Sternberg conjecture that quantisation commutes with reduction, and new models of topological phases of matter in terms of K-theory of operator algebras. This project will benefit Australia by reinforcing its position in these highly active areas in science.Funded Activity Details
Start Date: 07-2020
End Date: 12-2024
Funding Scheme: Discovery Projects
Funding Amount: $507,438.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Category Theory, K Theory, Homological Algebra | Operator Algebras and Functional Analysis | Pure Mathematics | Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter |
ANZSRC Socio-Economic Objective (SEO)
Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences
