NSF-CGP Fellowship: A Japan -U.S. Attack on the Unstable Brown-Peterson Homology of Spaces

NSF-CGP 奖学金：日本-美国

• 批准号: 9731213
• 负责人: W. Stephen Wilson
• 金额: $ 3.54万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-07-01 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9731213&HistoricalAwards=false
• 关键词: NSF; CGP; Fellowship; Japan; U.S.

9731213 Wilson This award provides funds to support a six month research visit by Dr. W. Stephen Wilson, Department of Mathematics, Johns Hopkins University, for collaboration with Professor Goro Nishida, Division of Mathematics, Graduate School of Science, Kyoto University, Japan. The collaborators will attempt to prove a conjecture on the unstable Brown-Peterson homology of spaces. This conjecture was first made nearly 20 years ago in the USA by American and Japanese mathematicians. In recent collaboration between U.S. and Japanese mathematicians, significant progress has been made on the problem, and the PI and his collaborators have sketched an approach which is expected to resolve the question. The conjecture states that n-dimensional elements in the Brown-Peterson homology of a space are an n-th type of torsion free. The collaborators will translate the problem into classifying spaces for a cohomology version and then prove various homotopy decomposition theorems Solution of the problem will be of mutual benefit to U.S. and Japanese mathematicians. This project is supported under the Science Fellowship Program between the National Science Foundation and the Japan Foundation Center for Global Partnership. ***

小行星9731213 该奖项提供资金，以支持为期六个月的研究访问博士。约翰霍普金斯大学数学系Stephen Wilson与日本京都大学理学研究生院数学系Goro Nishida教授合作。 合作者将试图证明一个关于空间的不稳定布朗-彼得森同调的猜想。 这个猜想是近20年前由美国和日本数学家在美国首次提出的。 在美国和日本数学家最近的合作中，在这个问题上取得了重大进展，PI和他的合作者已经勾勒出一种有望解决这个问题的方法。 该猜想指出空间的布朗-彼得森同调中的n维元素是n阶无挠的。 合作者将把这个问题转化为上同调版本的分类空间，然后证明各种同伦分解定理。这个问题的解决对美国和日本的数学家都是有益的。 该项目得到了国家科学基金会和日本基金会全球伙伴关系中心之间的科学奖学金计划的支持。 ***