Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP150100008
Funding Status
Closed
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Funded Activity Summary
Ubiquity of K-theory and T-duality. An abstract mathematical tool, called K-theory, has recently found application in two, not obviously related, areas of physics: the classification of D-branes in String Theory, and topological phases in Condensed Matter Theory. This project aims to advance the development of K-theory using ideas from physics. In particular, the project aims to generalise previous constructions, such as T-duality, to loop spaces, and to develop the K-theory relevant to the classification of topological phases in strongly interacting systems. This project involves postgraduate training as a crucial tool in achieving its aims and enhances Australia's position at the forefront of international research.Funded Activity Details
Start Date: 05-2015
End Date: 12-2018
Funding Scheme: Discovery Projects
Funding Amount: $369,900.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Category Theory, K Theory, Homological Algebra | Operator Algebras and Functional Analysis | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Mathematical Physics |
