Conference on Groupoids and Stacks in Geometry and Physics

奖：DMS-0406368主要研究人员：平旭建议部分资助一个为期五天的“物理和几何中的群团和堆栈”研讨会，该研讨会将于2004年6月28日至7月2日在国际伦孔特数学中心(法国勒米尼)举行。研讨会由加拿大不列颠哥伦比亚省大学的PIwith凯·贝伦德组织。拟议讲习班的一个目标是将群体社区(包括微分代数师和算符代数学家)和堆栈社区结合在一起，以鼓励这些领域之间更多的互动和交叉受精。Pi还希望将从事量子场论和弦论工作的物理学家带给工作间，因为物理学一直是上述主题的稳定思想来源。群团/堆栈是一个自然产生的数学概念，用于研究物体的对称性，如非晶体的有限部分。它与力学、物理学和几何学有关。该课题还可能在生物学方面有潜在的应用。世界各地有许多聪明的年轻人从事这些学科的工作，这次研讨会将是一个很好的机会，让美国的研究人员，特别是年轻人，与他们的国际同事交流他们的想法，开阔他们的视野。PI预计将邀请许多博士后和研究生级别的数学家(来自美国、非洲、加拿大和欧洲)参加研讨会。

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.