U.S.-Poland Mathematics Research in Algebraic Topology

标题:美国-波兰代数拓扑数学研究芝加哥大学的Peter May教授和Stefan教授之间的这项美国-波兰研究项目的主要目标华沙大学的Jackowski将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主要的合作。研究人员打算集中研究紧李群的分类空间之间的映射，这是许多数学分支的中心，在理论物理中起着基础作用。参与这项提议的各参与方之间已经进行了相当大的合作，并出版了若干联合出版物。他们的持续努力将产生关于紧李群的分类空间和与之相关的各种代数结构的性质的进一步详细信息。该数学研究项目通过使美国和东欧的顶尖专家在共同感兴趣和能力强的领域结合互补的人才和集中研究资源，实现了推进科学知识的计划目标。

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.