U.S.-Norway Cooperative Research: Algebraic K-theory and Pseudo-isotopies

9811590Kwasik该奖项是对Slaomeir Kwasik教授和杜兰大学研究生的一次为期一年的续展，以支持与挪威奥斯陆大学数学系的Bjorn Jahren教授和其他人在数学研究方面的合作。研究了流形的代数K-理论与伪同余之间的关系，并应用Waldhausen A-理论的新方法研究了流形拓扑的各种几何问题。夸西克博士在伪同位素理论的更多几何方面的经验加强了这项研究，但主要依赖于贾伦教授开发的专业知识和新方法。人们对上述领域的研究仍很感兴趣。在这些理论的代数方面已经取得了重大进展，但在几何方面的工作仍然是新的。事实上，从事这项研究的最强大的中心在北欧，拟议中的与挪威团队的合作将为夸西克博士提供接触最新研究进展的机会，因为他正在继续与挪威同行加强这项研究。夸西克博士和他的合作者在最初的研究目标上取得了很大进展，并将能够在今年的额外资金下完成这些目标。

9811590KwasikThis award is a one-year renewal of an award to Professor Slawomir Kwasik and a graduate student of Tulane University to support collaboration in mathematics research with Professor Bjorn Jahren and others of the Department of Mathematics of the University of Oslo, Norway. The research studies the relationship between algebraic K-theory and pseudo-isotopy of manifolds, and applies new methods employing Waldhausen's A-theory to study various geometric questions concerning the topology of manifolds. The research is strengthened by the experience of Dr. Kwasik in the more geometric aspects of pseudo-isotopy theory but relies primarily on the expertise and new approach developed by Professor Jahren. There is still a great deal of interest in research in the above areas. Significant progress has already been made in the algebraic aspects of these theories, but work is still new on the geometrical side. Indeed the strongest centers pursuing this research are in Northern Europe, and the proposed collaboration with a Norwegian group will provide access to the latest research developments for Dr. Kwasik as he continues to strengthen the research with his Norwegian counterpart. Dr. Kwasik and his collaborator have made strong progress on the original research goals, and will be able to complete those goals with the additional year's funding.