Quivers and Bipartite Graphs: Physics and Mathematics

箭袋和二分图：物理和数学

• 批准号: 1636087
• 负责人: Michael Gekhtman
• 金额: $ 1.6万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-06-15 至 2017-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1636087&HistoricalAwards=false
• 关键词: Quivers; Bipartite; Graphs; Physics; Mathematics

This award supports the travel of US participants, in particular students and early career researchers, to the conference "Quivers and Bipartite Graphs: Physics and Mathematics" to be held at the London Global Gateway facility of the University of Notre Dame in London, UK, on May 2-6, 2016. Mathematics has built a strong foundation for solving various problems in physics. In recent years, a number of exciting advances in high energy physics have been developed by using the newly discovered mathematical objects called cluster algebras. This workshop will bring together both leading experts and young researchers working on applications of mathematical theory of quivers and bipartite graphs to problems in high energy physics. The NSF funds will be used to reimburse travel expenses for graduate students, post-doctoral researchers, young faculty members, members of under-represented groups, and researchers without federal support.Cluster algebras have been uniquely suited for simplifying and carrying out massive calculations (e.g., related to scattering amplitudes), and formalizing and unifying key observations previously made by theoretical physicists. Since this new and dynamic inter-disciplinary area of research touches upon a wide range of topics including gauge theory, string theory, number theory, algebraic geometry, integrable systems, and representation theory, the funding will be used to help mathematicians from diverse research areas to learn, interact, and collaborate with world experts in mathematics and high energy physics. One hallmark of the workshop will be the increased cross-fertilization between the mathematical sciences and other areas of science, particularly physics. Additional information is available at the conference web site, http://www3.nd.edu/~conf/quivers/

该奖项支持美国参与者，特别是学生和早期职业研究人员前往参加将在英国伦敦圣母大学伦敦全球网关设施举行的“箭袋和二分图：物理和数学”会议， 2016年5月2日至6日。数学为解决物理中的各种问题奠定了坚实的基础。近年来，通过使用新发现的称为簇代数的数学对象，高能物理领域取得了许多令人兴奋的进展。 本次研讨会将汇集主要专家和年轻研究人员，致力于将箭袋和二分图数学理论应用于高能物理问题。 NSF 资金将用于报销研究生、博士后研究人员、年轻教员、代表性不足群体的成员以及没有联邦支持的研究人员的旅费。簇代数特别适合简化和进行大规模计算（例如，与散射幅度有关），以及形式化和统一理论物理学家先前所做的关键观察。由于这个新的、充满活力的跨学科研究领域涉及广泛的主题，包括规范理论、弦理论、数论、代数几何、可积系统和表示论，因此这笔资金将用于帮助来自不同研究领域的数学家与数学和高能物理领域的世界专家学习、互动和合作。该研讨会的标志之一是数学科学与其他科学领域（特别是物理学）之间的交叉融合。更多信息请访问会议网站：http://www3.nd.edu/~conf/quivers/