Contributions to the Study of the Non-Commutative Chern Character

对非交换陈氏字符研究的贡献：该奖项是在美国-工业化国家科学家和工程师交流计划1987/1988竞赛下提出的。该项目旨在使美国科学家和工程师能够在西欧工业化国家以及日本、澳大利亚和新西兰的研究机构进行长期研究。交换奖为进行联合研究和利用国外独特或互补的设施、专门知识和实验条件提供了机会。奖项的评选依据是与其科学领域相关的科学标准、申请人专业发展的前景潜力，以及与促进国际科学与工程合作有关的标准。该项目特别针对正在从事研究工作的科学家和工程师。非交换的Chern特征是连接k理论和（co）同调的桥梁，在几何和拓扑中起着重要的作用。目前的研究项目旨在发展非交换陈氏特征的一种双变版本，并探索其在经典、非交换、指标理论和物理规范场量化中的应用。该项目由俄亥俄州立大学数学系Henri Moscovici教授（1314,Kinnear Road, Columbus, OH 43212, usa）和法国高级科学研究所所长Marcel Berger教授（35 Route des Chartres, 91440, boures - sur - yvette, France）指导。该奖励建议提供资金，酌情支付国际旅行，国外本地旅行，津贴，家属津贴（如果适用），语言培训（如果需要），以及美国本土机构250美元的固定行政津贴。

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.