Algebraic Lie Theory and Representation Theory

代数李理论和表示论

• 批准号: 1406933
• 负责人: Jonathan Kujawa
• 金额: $ 2.3万
• 依托单位: University of Oklahoma Norman Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1406933&HistoricalAwards=false
• 关键词: Algebraic; Lie; Theory; Representation

This award supports the participation of US mathematicians in the 'Algebraic Lie Theory and Representation Theory' conference hosted by the International Centre for Mathematical Sciences in Edinburgh, Scotland during the week of September 1-5, 2014 and the accompanying LMS-CMI Research School for graduate students, postdoctoral fellows, and other young researchers hosted by the University of Glasgow in Glasgow, Scotland during the week of August 25-29, 2014. In recent years there have been many exciting developments within algebraic Lie theory which provide significant advances and insights to the field. These innovative methods involve a mixture of combinatorial, algebraic, geometric, and topological tools. However, the rapid progress made possible by this diversity of techniques means that even experts are not familiar with all facets of the field. The workshop is designed to bring together leading researchers and young mathematicians from the US, Europe, and Asia so that these methods may be shared. The research school is designed to bring young mathematicians up to speed on some of the most fruitful areas of current research. The current schedule for the school features lecture series by Iain Gordon, Andrew Mathas, and Catharina Stroppel. Lie groups and Lie algebras have been a central theme in mathematics since their origins in the work of Sophus Lie in the late 19th century. They find profound applications in diverse areas of mathematics and physics. Their ubiquity and importance led to the expansion of Lie theory into many new areas. This expanded area is now known as algebraic Lie theory. Leading researchers can now be found in the US, Europe, and Asia. The workshop and research school provide a unique opportunity for researchers from around the world to disseminate the latest results and techniques in algebraic Lie theory. Both the workshop and research school place a strong emphasis on encouraging international collaboration and the involvement of up-and-coming researchers. In particular, this grant will allow participation by US based mathematicians who are young researchers, from underrepresented groups, or who would otherwise be unable to attend. It will provide a rich opportunity for US mathematicians to learn of cutting edge work and initiate international collaborations. We anticipate this grant will have a significant impact on US based students and researchers in this exciting field. The website for the workshop and research school is: http://www2.math.ou.edu/~kujawa/ALTConference/index.html

该奖项支持美国数学家参加由国际数学科学中心于2014年9月1日至5日在苏格兰爱丁堡举办的“代数Lie Theory and Representation Theory”会议，以及LMS-CMI研究学院于2014年8月25日至29日在苏格兰格拉斯哥大学举办的研究生、博士后和其他年轻研究人员会议。近年来，在代数李理论中有许多令人兴奋的发展，为该领域提供了重大的进步和见解。这些创新的方法涉及组合、代数、几何和拓扑工具的混合。然而，这种技术的多样性所带来的快速进步意味着即使是专家也不熟悉该领域的所有方面。该研讨会旨在汇集来自美国、欧洲和亚洲的顶尖研究人员和年轻数学家，以便分享这些方法。这所研究学院的目的是使年轻的数学家在当前研究的一些最有成果的领域加快速度。目前学校的课程安排包括Iain Gordon、Andrew Mathas和Catharina Stroppel的系列讲座。李群和李代数自19世纪晚期起源于索夫斯·李的工作以来，一直是数学的中心主题。它们在数学和物理的各个领域得到了深刻的应用。它们的普遍性和重要性使李理论扩展到许多新的领域。这个扩展的领域现在被称为代数李论。领先的研究人员现在可以在美国、欧洲和亚洲找到。研讨会和研究学校为来自世界各地的研究人员提供了一个独特的机会来传播代数李理论的最新成果和技术。研讨会和研究学院都非常强调鼓励国际合作和有前途的研究人员的参与。特别是，这项资助将允许美国的年轻研究人员、来自代表性不足的群体或无法参加的数学家参加。它将为美国数学家提供学习前沿工作和发起国际合作的丰富机会。我们预计这项资助将对这个令人兴奋的领域的美国学生和研究人员产生重大影响。研讨会和研究学院的网站是：http://www2.math.ou.edu/~kujawa/ALTConference/index.html