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 clas ....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.Read moreRead less
Dualities in String Theory and Conformal Field Theory in the context of the Geometric Langlands Program. The Langlands program ties together seemingly unrelated areas of Mathematics. Recently, in the context of the Geometric Langlands correspondence, novel connections with Theoretical Physics have emerged, thus becoming one of the most active areas of research in both Mathematics and Theoretical Physics. Australia has a number of world-renowned experts, including the two CI's, in various aspect ....Dualities in String Theory and Conformal Field Theory in the context of the Geometric Langlands Program. The Langlands program ties together seemingly unrelated areas of Mathematics. Recently, in the context of the Geometric Langlands correspondence, novel connections with Theoretical Physics have emerged, thus becoming one of the most active areas of research in both Mathematics and Theoretical Physics. Australia has a number of world-renowned experts, including the two CI's, in various aspects of the Langlands program, and is therefore well-placed to make seminal contributions. Being involved in these new developments is of crucial importance to the health of Mathematics and Theoretical Physics in Australia. An integral part of this proposal is student involvement and postgraduate training.Read moreRead less
Supersymmetric quantum field theory, topology and duality. Supersymmetry is universally considered as one of the most fundamental concepts in physics, playing an increasingly central role in recent studies of quantum field theory and string theory. There is a corresponding development of supersymmetry in mathematics and this project will make advances both in 'superphysics' and 'supermathematics'.
Ethics, responsibility and the carbon budget. This project aims to provide a rigorous ethical framework for dividing the world’s remaining ‘carbon budget’ (CB). In order to avoid climate change the world must drastically limit its emissions of greenhouse gases. The project will develop a new analysis of how our assumptions concerning risk and harm shape conception of the CB. It will also provide a new understanding of how future emission rights should be allocated given that countries have emitt ....Ethics, responsibility and the carbon budget. This project aims to provide a rigorous ethical framework for dividing the world’s remaining ‘carbon budget’ (CB). In order to avoid climate change the world must drastically limit its emissions of greenhouse gases. The project will develop a new analysis of how our assumptions concerning risk and harm shape conception of the CB. It will also provide a new understanding of how future emission rights should be allocated given that countries have emitted vastly different quantities of greenhouse gases in the past. The project will analyse how the CB will impact the climate transition plans of countries such as Australia. The project will thus bring significant new research in philosophy to bear on a practical issue.Read moreRead less
Applications of generalised geometry to duality in quantum theory. This project will undertake research into mathematics at the forefront of modern physics. The aim of the project is to develop a mathematical theory of T-duality, a phenomenon in quantum physics, using generalised geometry.
Enhanced Humans, Robotics and the Future of Work. The aim of the project is to generate new and powerful understandings of the social consequences of robotics and artificial intelligence. The project aims to develop an understanding of technologically-mediated mobility processes and test their capacity to address such issues as social futures and the sorts of digital skills that Australians will require for future jobs. It plans to use social theory to explore technological scenarios and hypothe ....Enhanced Humans, Robotics and the Future of Work. The aim of the project is to generate new and powerful understandings of the social consequences of robotics and artificial intelligence. The project aims to develop an understanding of technologically-mediated mobility processes and test their capacity to address such issues as social futures and the sorts of digital skills that Australians will require for future jobs. It plans to use social theory to explore technological scenarios and hypotheses concerning possible societal futures in Australia and beyond. Project outcomes may inform social science and contribute to worldwide efforts to solve global policy problems from work and unemployment to lifestyle change.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0882889
Funder
Australian Research Council
Funding Amount
$150,000.00
Summary
History, the archives and new technologies: developing the Australian women's archives project. This project will create and define generic tools and services to increase the productivity of those involved with the creation, maintenance and use of source material for humanities research. It will provide a pathway to move this infrastructure onto a more sustainable footing and address issues of information overload, authority and quality facing researchers in the networked digital age. This imper ....History, the archives and new technologies: developing the Australian women's archives project. This project will create and define generic tools and services to increase the productivity of those involved with the creation, maintenance and use of source material for humanities research. It will provide a pathway to move this infrastructure onto a more sustainable footing and address issues of information overload, authority and quality facing researchers in the networked digital age. This imperative is seen by scholars and representatives of the nation's major collecting institutions as a primary limiting factor in the contemporary research environment. The project will enhance Australia's reputation as a world leader in the development of web-based information infrastructure to support research and scholarship.Read moreRead less