Integrable systems from gauge theories

这个项目旨在构建和描述三个重要的可积系统，并在表示论和数学物理方面产生新的重要结果。该项目的重点是可积系统理论，这是现代数学的一个突破性领域，它将使用几何表示理论中的工具来研究几何和数学物理之间的相互关系。该项目起源于弦理论，不仅将提供对宇宙的更深层次的理解，还将培训年轻的数学家和其他高素质的个人，他们有可能通过他们的专业技能对技术、安全和经济产生重大影响。

This project aims to construct and describe three important integrable systems and to produce new significant results in representation theory and mathematical physics. The focus of the project is the theory of integrable systems, a breakthrough area in modern mathematics, and it will use tools from geometric representation theory to study the interrelation between geometry and mathematical physics. Originating from string theory, the project will not only provide a deeper understanding of the universe, it will also train young mathematicians and other highly qualified individuals with the potential to make a significant impact to technology, security, and the economy though their specialised skills.