Representations of Lie and Jordan Algebras, Their Representations and Applications

“Lie代数和Jordan代数的表示及其表示与应用”国际会议将于2020年1月6日至1月11日在中国成都举行。这个会议是一年一度的国际盛会，汇集了来自世界各地的数学家。该奖项将为美国的参与者提供支持，优先考虑来自代表性不足群体的参与者和初级研究人员。讲座的阐述将以讨论会的形式进行，以便博士后学者和研究生能够接触到这些材料。将有一个简短的交流环节，由早期的数学家进行30分钟的演讲。李代数和约旦代数的表示理论是数学中一个综合性的主流研究领域，在数学和理论物理中有着广泛的应用。特别是，新的分类和几何结构不仅在李论中，而且在数学和物理的其他领域，如组合学、群论、数论、可积系统、偏微分方程、拓扑学和共形场论中都处于领先地位。最近在表示理论中使用d模、Koszul对偶和更高范畴的发展进一步加强了这些相互作用。会议将广泛讨论这些发展及其应用。会议的目的是汇集领先的专家来讨论过去十年在代数和表示理论方面的主要成就，以及继续在该领域大量存在的问题和基本猜想。该奖项反映了美国国家科学基金会的法定使命，并通过基金会的知识价值和更广泛的影响审查标准进行了评估，认为值得支持。

The international conference "Representations of Lie and Jordan Algebras, Their Representations and Applications" will be held in Chengdu, China, from January 6 to January 11, 2020. This conference is an annual international event that brings together mathematicians from all over the world. This award will provide support of US-based participants with priority given to participants from under-represented groups and junior researchers. The exposition of the lectures will be in a colloquium style in order to make the material accessible to post-doctoral scholars and graduate students. There will be a short communication session consisting of 30-minute talks delivered by early-carrier mathematicians. The representation theory of Lie and Jordan algebras is a comprehensive and mainstream research area in mathematics with numerous applications within mathematics and theoretical physics. In particular, new categorical and geometric constructions have taken the lead not only within Lie theory but also in other areas of mathematics and physics such as combinatorics, group theory, number theory, integrable systems, partial differential equations, topology and conformal field theory. Recent developments in representation theory using D-modules, Koszul duality, and higher category are strengthening these interactions further. The conference will cover a wide range of these developments and their applications. The aim of the conference is to bring together leading specialists to discuss the major achievements of the last decade in algebras and representation theory, as well as problems and fundamental conjectures that continue to abound the area. Further details can be found at the conference websitehttp://tianyuan.scu.edu.cn/portal/article/index/id/241.htmlThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.