Conference on Groupoids and Stacks in Geometry and Physics

几何和物理中的群形和堆栈会议

• 批准号: 0406368
• 负责人: Ping Xu
• 金额: $ 2.5万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-08-01 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0406368&HistoricalAwards=false
• 关键词: Conference; Groupoids; Stacks; Geometry; Physics

AbstractAward: DMS-0406368Principal Investigator: Ping XuThe proposal is to partially support a five-day workshop on"Groupoids and Stacks in Physics and Geometry", to be held at theCentre International de Rencontres Mathematiques (Luminy, France)from June 28 to July 2, 2004. The workshop is organized by PIwith Kai Behrend from the University of British Columbia,Canada. One objective of the proposed workshop is to bringtogether the groupoid community (consisting of both differentialgeometers and operator algebraists) and the stack community, inorder to encourage more interaction and cross-fertilizationbetween these fields. PI also wishes to bring to the workshopphysicists working on quantum field theory and string theory,since physics has been a steady source of ideas in theaforementioned subjects.Groupoids/stacks is a mathematical notion which arises naturallyin order to study symmetries of objects such as finite parts of acrystal. It is related to mechanics, physics, and geometry. Thesubject may also have potential applications to biology. Thereare many bright young people working in these subjects around theworld and this workshop will be a great opportunity to bringU.S. researchers, especially young people, to exchange theirideas with their international colleagues and to broaden theirperspective. PI anticipates inviting many mathematicians at thepostdoctoral and graduate student level (from the United States,Africa, Canada, and Europe) to the workshop.

AbstractAward：DMS-0406368首席研究员：徐平该提案是部分支持将于2004年6月28日至7月2日在法国卢米尼国际数学会议中心举行的为期五天的“物理学和几何学中的群胚和堆栈”研讨会。该研讨会由加拿大不列颠哥伦比亚省的PI和Kai Behrend组织。拟议的研讨会的一个目标是将groupoid社区（由微分几何学家和算子代数学家组成）和堆栈社区聚集在一起，以鼓励这些领域之间更多的互动和交叉受精。PI还希望把工作在量子场论和弦理论的物理学家带到研讨会上，因为物理学一直是上述学科思想的稳定来源。群胚/堆栈是一个数学概念，它自然出现在研究对象的对称性，如晶体的有限部分。 它与力学、物理学和几何学有关。这个课题也可能在生物学上有潜在的应用。全世界有许多聪明的年轻人在从事这些领域的工作，这次研讨会将是一个很好的机会，让美国人了解这些问题。研究人员，特别是年轻人，与他们的国际同行交流他们的想法，拓宽他们的视野。PI预计将邀请许多博士后和研究生水平的数学家（来自美国，非洲，加拿大和欧洲）参加研讨会。