Generalized Geometries and their Applications

几何学是古代和现代数学的支柱之一。 它在许多科学应用中也起着至关重要的作用，特别是在物理学中。数学方面的进展和应用往往齐头并进，例如微分几何和广义相对论。 几何学是一个非常富有成果的跨学科研究领域。 澳大利亚在数学物理方面有着悠久的传统和公认的研究实力，该项目将有助于保持这一地位。 这一建议的一个组成部分是学生参与和研究生研究培训，这一主题特别适合自己。

Geometry is one of the pillars of both ancient and modern mathematics. It also plays a vital role in many scientific applications, in particular in physics. Progress on the mathematical aspects and the applications have often gone hand in hand, as for example with differential geometry and general relativity. Geometry is a very fruitful area for interdisciplinary research. Australia has a long tradition and a recognized research strength in Mathematical Physics, and this project will contribute to maintaining that status. An integral part of this proposal is student involvement and postgraduate research training, for which the topic lends itself particularly well.