Noncommutative geometry in representation theory and quantum physics

自然科学中最重要的问题之一是理解普朗克尺度下的时空结构。近年来的数学研究预测，在这个尺度下，时空变得不可交换。考虑到这种非交换性，该项目将几何、代数和量子力学结合起来，发展出解决这一问题所需的新数学理论。它承诺对数学和理论物理都做出根本性的贡献。

One of the most important problems in natural science is to understand the structure of spacetime at the Planck scale. Mathematical investigations in recent years have predicted that at this scale, spacetime becomes noncommutative. Taking this noncommutativity into account, the project brings together geometry, algebra and quantum mechanics to develop new mathematical theories required for addressing the problem. It promises to make fundamental contributions to both mathematics and theoretical physics.