Quivers and Bipartite Graphs: Physics and Mathematics

该奖项资助美国参与者，特别是学生和职业生涯早期研究人员，参加将于2016年5月2日至6日在英国伦敦圣母大学伦敦全球门户设施举行的会议《箭图和二分图：物理和数学》。数学为解决物理学中的各种问题奠定了坚实的基础。近年来，通过使用新发现的被称为团簇代数的数学对象，高能物理取得了许多令人兴奋的进展。本次研讨会将汇聚致力于将箭图和二分图的数学理论应用于高能物理问题的顶尖专家和年轻研究人员。NSF的资金将用于偿还研究生、博士后研究人员、年轻教职员工、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。星系团代数特别适合于简化和执行大规模计算(例如，与散射幅度有关)，以及形式化和统一以前由理论物理学家所做的关键观测。由于这一新的、动态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、可积系统和表示理论，这笔资金将用于帮助来自不同研究领域的数学家学习、互动和与世界数学和高能物理专家合作。研讨会的一个标志将是数学科学与其他科学领域，特别是物理学之间的相互促进。欲了解更多信息，请访问会议网站：http://www3.nd.edu/~conf/quivers/。

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/