Algebraic Structures in Mathematical Physics and Their Applications

数学物理中的代数结构及其应用。仿射（超）代数、量子化代数和顶点算子代数等代数结构是数学中最重要的发现之一。它们提供了一个普遍通用的代数框架，作为广泛物理应用的基础。统计力学，弦理论，凝聚态物理等)导致全球高水平的研究活动。该项目利用澳大利亚数学物理领域的高水平专业知识，专注于这些代数结构理论及其在物理学中的应用的令人兴奋的新发展，从而确保澳大利亚在这一迅速发展的领域发挥主导作用。

Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.