Mathematical Sciences: K-Theory of Fields

数学科学：K-场论

• 批准号: 8904837
• 负责人: Marc Levine
• 金额: --
• 依托单位: Northeastern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8904837&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Theory; Fields

This project is concerned with the K-theory of fields. The principal investigator will attempt to extend the results of Rost and Merkerjev-Suslin. He will employ the techniques of relative K-theory to provide an understanding of the weight three K-theory of fields. He will also employ his recently constructed relative Milnor K-groups to construct motivic complexes. This research is concerned with algebraic K-theory. In a broad sense algebraic K-theory concerns the evolution of concepts from linear algebra such as basis and vector space. This work has significant implications for number theory and algebraic geometry, and promises to make exciting connections between a number of different areas in mathematics.

这个项目是关于域的K-理论。的 主要研究者将尝试扩展 Rost和Merkerjev-Suslin。他将采用的技术， 相对K-理论，以提供对权重的理解 三K场论他最近还将聘请 构造相对Milnor K-群来构造动机 配合物 本研究涉及代数K理论。中 广义代数K-理论关注的是 线性代数中的概念，如基和向量空间。 这项工作对数论和 代数几何，并承诺作出令人兴奋的连接 数学中的许多不同领域。