GIG: Infrastructure Improvement for a Research Group for the Study of the Algebra and Geometric of Quantum Physics

GIG：量子物理代数和几何研究小组的基础设施改进

基本信息

批准号：
9510375
负责人：
David Yetter
金额：
$ 10万
依托单位：
Kansas State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1995
资助国家：
美国
起止时间：
1995-09-15 至 1999-02-28
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9510375&HistoricalAwards=false
关键词：
GIG Infrastructure Improvement Research Group

项目摘要

9510375 Yetter A focus on mathematical problems arising from or related to quantum physics has become the over-riding theme of much of the mathematical research carried out in the Kansas State University Department of Mathematics. This project addresses the infrastructure needs of the group engaged in mathematical research in this area, specifically enabling the group to hire a postdoctoral research assistant whose presence will improve research productivity through the injection of fresh perspectives and ideas and the cementing ties between members of the group and providing for improvements to the computing environment available to the group.Research interests in the group range from very classical applications of mathematics to quantum theory--- solution of equations of Schroedinger type (L.V. KAPITANSKI), quantum scattering problems (both direct and inverse) (A.G. Ramm and K. VANINSKY), and continuum statistical mechanics (K. Vaninsky)---through general quantization problems (Y. SOIBELMAN) and non-commutative geometry (F. WU and G. Nagy) to recent developments relating algebra, topology and quantum field theory--- quantum groups (Z. LIN and Y. Soibelman), topological and conformal field theories (L. CRANE, Z. Lin, and D.N. YETTER), applications of gauge theory to differential topology (F. Miller), and sigma models (L.V. Kapitanski).(The first mention of each co-PI for the project is in upper-case.)

9510375 Yetter着重于由量子物理引起或与量子物理有关的数学问题，已成为堪萨斯州立大学数学系进行的许多数学研究的过度骑行主题。该项目解决了从事该领域数学研究的小组的基础设施需求，特别使该小组能够聘请一名博士后研究助理，其存在将通过注入新的观点和思想的注入来提高研究生产力，以及集团成员之间的固定关系，并为小组的计算范围提供了对计算范围的进一步范围的范围。 Schroedinger type (L.V. KAPITANSKI), quantum scattering problems (both direct and inverse) (A.G. Ramm and K. VANINSKY), and continuum statistical mechanics (K. Vaninsky)---through general quantization problems (Y. SOIBELMAN) and non-commutative geometry (F. WU and G. Nagy) to recent developments relating algebra, topology and quantum field theory--- quantum groups （Z. Lin和Y. Soibelman），拓扑结构和保形场理论（L. Crane，Z。Lin和D.N. Yetter），仪表理论在差异拓扑（F. Miller）和Sigma模型（L.V. Kapitanski）中的应用。