Geometric methods in quantum theory.

量子理论是物理学的基本语言，它描述了物质的小尺度结构，可能还有时空。复杂模型的出现，特别是夸克模型的出现，强调了几何结构是理论的基本组成部分。量子理论提出的问题与流形几何中遇到的问题相似，因此后者的工具已经成功地应用于前者，反之亦然。首席调查员之前的工作已经显示了被称为gerbes的几何结构的重要性，该项目将以新颖的方式扩展和应用。

Quantum theory is the fundamental language of physics, it describes the small scale structure of matter and possibly space-time. The advent of sophisticated models, particularly of quarks has emphasised geometric structure as a basic component of the theory. The issues thrown up by quantum theory are similar to problems encountered in the geometry of manifolds so that tools from the latter have been successfully employed in the former and vice-versa. Previous work of the Chief Investigators has shown the importance of geometric structures known as gerbes which this Project will extend and apply in novel ways.