U.S.-Japan Cooperative Science: Recent Progress in Homotopy Theory

美日合作科学：同伦论最新进展

• 批准号: 9815343
• 负责人: John Michael Boardman
• 金额: $ 2.1万
• 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: 1999
• 资助国家: 美国
• 起止时间: 1999-06-01 至 2000-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9815343&HistoricalAwards=false
• 关键词: U.S.; Japan; Cooperative; Science; Recent

9815343BoardmanThis award supports a one year collaborative research project between Professor J. Michael Boardman of Johns Hopkins University in Baltimore and Professor Goro Nishida of Kyoto University in Japan. The researchers will be undertaking a study of the recent progress is homotopy theory. One focus of the program will be recent advances in homological algebra in the category of spectra and their interaction with the chromatic program, but it is also an opportunity to review recent developments in the field as a whole. The program will sponsor weekly seminars during the academic year, culminating in a conference and workshop in March, 2000. This decade has seen revolutionary developments in homotopy theory, and this program is an opportunity to review, evaluate, and rationalize this work. Problems with the foundations of the theory of ring-spectra and their modules, which have blocked the development of the subject for two decades, have been solved by sophisticated generalizations of classical techniques from homological algebra. A goal of this program is to bring these developments to the attention of the wider mathematical community. This project brings together the efforts of two laboratories that have complementary expertise and research capabilities. Results of this research would provide a forum for informing researchers, in the area of homotopy, of the latest developments and, therefore, enabling them to expand the scope of their own research projects. This research advances international human resources through the participation of a younger scientist and graduate students. Through the exchange of ideas and technology, this project will broaden our base of basic knowledge and promote international understanding and cooperation. The researchers plan to publish a volume that contains the works presented in the year-long seminar.***

9815343 Boardman该奖项支持巴尔的摩约翰霍普金斯大学的J. Michael博德曼教授和日本京都大学的西田五郎教授之间为期一年的合作研究项目。 研究人员将对同伦理论的最新进展进行研究。 该计划的一个重点将是同调代数在光谱类别及其与色程序的相互作用的最新进展，但它也是一个机会，以审查该领域的最新发展作为一个整体。 该方案将在学年期间主办每周一次的研讨会，最终将于2000年3月举行一次会议和讲习班。 这十年已经看到同伦理论的革命性发展，这个计划是一个机会，审查，评估和合理化这项工作。 环谱及其模理论的基础问题，这已经阻碍了二十年的主题的发展，已经解决了复杂的推广经典技术从同调代数。 该计划的一个目标是将这些发展引起更广泛的数学界的注意。 该项目汇集了两个具有互补专业知识和研究能力的实验室的努力。这项研究的结果将提供一个论坛，向同伦领域的研究人员通报最新发展，从而使他们能够扩大自己的研究项目的范围。这项研究通过年轻科学家和研究生的参与促进了国际人力资源。 通过交流思想和技术，该项目将扩大我们的基础知识，促进国际理解与合作。 研究人员计划出版一卷，其中包含在为期一年的研讨会上提出的作品。