Contributions to the Study of the Non-Commutative Chern Character

对陈氏非交换性特征研究的贡献

• 批准号: 8701845
• 负责人: Henri Moscovici
• 金额: $ 1.96万
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-15 至 1988-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701845&HistoricalAwards=false
• 关键词: Contributions; Study; Non; Commutative; Chern

Contributions to the Study of the Non-Commutative Chern Character: This award recommendation is made under the U.S.-Industrialized Countries Program for the Exchange of Scientists and Engineers, 1987/1988 Competition. The program is designed to enable U.S. scientists and engineers to conduct long-term research at research institutions in the industrialized countries of Western Europe as well as Japan, Australia and New Zealand. Exchange awards provide opportunities for the conduct of joint research and the utilization of unique or complementary facilities, expertise and experimental conditions in foreign countries. Awards are selected on the basis of scientific criteria relevant to his/her field of science, the prospective potential of the applicants for professional growth, as well as criteria relevant to the furthering of international cooperation in science and engineering. The program is particularly directed to scientists and engineers who are embarking on their research careers. This research deals with contributions to the study of the non-commutative Chern character, which acts as a bridge between K-theory and (co) homology, and plays an important role in geometry and topology. The current research project aims to develop a bivariant version of the non-commutative Chern character and explore its applications to classical, as well as non-commutative, index theory and to the quantification of gauge fields in physics. The project is under the direction of Professor Henri Moscovici, Department of Mathematics, The Ohio State University, 1314, Kinnear Road, Columbus, OH 43212, U.S.A., and Professor Marcel Berger, Director, Institut des Hautes Etudes Scientifiques, 35 Route des Chartres, 91440, Bures-Sur-Yvette, France. This award recommendation provides funds to cover, as appropriate, international travel, local travel abroad, stipend, dependents allowance, if applicable, language training, if required, and a flat administrative allowance of $250 for the U.S. home institution.

对非交换陈氏特征标研究的贡献： 该奖项的建议是根据美国-工业化 科学家和技术人员交流国家方案 工程师，1987/1988年。 该计划旨在使 美国科学家和工程师将在研究中心进行长期研究 西欧工业化国家的教育机构 如日本、澳大利亚和新西兰。 交换奖励提供 开展联合研究和利用 独特或互补的设施，专业知识和实验 国外的条件。 奖项是根据与以下方面有关的科学标准选出的： 他/她的科学领域，申请人的未来潜力 专业成长，以及与进一步发展有关的标准 科学和工程的国际合作。 程序 特别是针对那些正在从事 他们的研究生涯。 这项研究涉及的贡献的研究， 非交换的Chern特征标，它充当了 K-理论和（上）同调，在几何和 topology. 目前的研究项目旨在开发一种双变量 版本的非交换陈特征标，并探讨其 经典的应用，以及非交换，指数理论和 物理学中规范场的量化。 该项目是在亨利·莫斯科维奇教授的指导下， 俄亥俄州州立大学数学系，1314，金尼尔 地址：美国俄亥俄州哥伦布路43212号和马塞尔·伯格教授 Director，Institut des Hautes Etudes Scientific，35 Route des 沙特雷斯，91440，布雷斯-苏尔-伊维特，法国。 这项授标建议提供资金，酌情支付 国际旅行、当地出国旅行、津贴、家属 津贴，如果适用，语言培训，如果需要，和一个公寓 美国本土机构的行政津贴为250美元。