U.S.-Poland Mathematics Research in Algebraic Topology

美国-波兰代数拓扑数学研究

• 批准号: 9020017
• 负责人: J May
• 金额: $ 4.5万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-03-15 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9020017&HistoricalAwards=false
• 关键词: U.S.; Poland; Mathematics; Research; Algebraic

Title: US-Poland Mathematics Research in Algebraic Topology The primary objective of this US-Poland research project between Professor Peter May of the University of Chicago and Professor Stefan Jackowski of Warsaw University is to continue major collaborative efforts in equivariant algebraic topology and the related areas of homotopy theory and manifold theory. The researchers intend to concentrate upon maps between classifying spaces of compact Lie groups which are central to many branches of mathematics and play a fundamental role in theoretical physics. There is already considerable cooperation amongst the various participants involved in this proposal and number of joint publications have been produced. Their continued efforts should yield further detailed information on the properties of the classifying spaces of compact Lie groups and the various algebraic structures associated with them. This project in mathematics research fulfills the program objectives of advancing scientific knowledge by enabling leading experts in the United States and Eastern Europe to combine complementary talents and pool research resources in areas of strong mutual interest and competence.

标题：代数拓扑中的美国-波兰数学研究芝加哥大学的 Peter May 教授和华沙大学的 Stefan Jackowski 教授之间的这个美国-波兰研究项目的主要目标是继续在等变代数拓扑以及同伦理论和流形理论的相关领域进行重大合作。 研究人员打算集中研究紧李群分类空间之间的映射，这些空间是许多数学分支的核心，并且在理论物理学中发挥着基础作用。参与该提案的各个参与者之间已经进行了相当大的合作，并且已经出版了许多联合出版物。 他们的持续努力应该会产生关于紧李群分类空间的性质以及与之相关的各种代数结构的进一步详细信息。 该数学研究项目通过使美国和东欧的领先专家能够在共同感兴趣和能力强的领域结合互补人才并汇集研究资源，实现了推进科学知识的计划目标。