Conference on Lie Theory and Its Applications

李理论及其应用会议

• 批准号: 1105825
• 负责人: David Meyer
• 金额: $ 2.67万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-01-15 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1105825&HistoricalAwards=false
• 关键词: Conference; Lie; Theory; Its; Applications

Conference on Lie Theory and Its Applications. Intellectual merit: In recent years, the representation theory of Lie groups has received a great deal of attention. This is a reflection of the depth of the ideas surrounding Lie theory and the consequent breadth of its applications. Representation theory is, however, only a small part of the mathematics touched by Lie theory. Lie theoretic ideas are influential in geometry and physics?important results by Nolan Wallach and others on quantifying entanglement of quantum states using invariant theory constitute one of their newest applications in physics, and have prompted new developments in invariant theory. In pure mathematics, Nolan Wallach and his collaborators have found significant applications to combinatorics, and to the theory of automorphic forms provides a central point of view in modern number theory that is becoming a leading application of Lie theoretic ideas.Broader impact: These recent results in Lie theory demonstrate the potential impact of a conference emphasizing the applicability of Lie theory to other areas of mathematics and physics. We plan to begin the conference with two expository talks aimed at students and non-experts, in support of the goal of broadening participation in the mathematical sciences by members of under-represented groups, and to provide a foundation for research talks on the most beautiful and exciting work currently being done by both senior and junior mathematicians. By co-hosting one or more of the talks with the UCSD chapter of the Association for Women in Mathematics we expect to attract attendance from members of the quite diverse population of UCSD graduate students, in addition to participants from around the country and the world.

谎言理论及其应用会议。智力价值：近年来，李群的表示理论受到了极大的关注。这反映了围绕着谎言理论的思想的深度和随之而来的应用的广度。然而，表象理论只是被谎言理论触及的数学中的一小部分。李氏理论思想在几何学和物理学中具有重要影响？Nolan Wallach等人利用不变量理论量化量子态纠缠的重要成果构成了他们在物理学中的最新应用之一，并推动了不变量理论的新发展。在纯数学中，Nolan Wallach和他的合作者在组合学中发现了重要的应用，而自同构形理论在现代数论中提供了一个中心观点，正在成为Lie理论思想的领先应用。广泛的影响：这些最近在Lie理论中的结果展示了一个会议的潜在影响，该会议强调了Lie理论在数学和物理的其他领域的适用性。我们计划以针对学生和非专家的两次介绍性演讲开始会议，以支持扩大代表不足群体成员对数学科学的参与的目标，并为高级和初级数学家目前正在进行的最美丽和最令人兴奋的工作的研究演讲奠定基础。通过与UCSD女性数学协会分会共同举办一个或多个讲座，我们预计将吸引来自全国和世界各地的参与者，以及来自相当不同人群的UCSD研究生。