Mathematical Sciences: Algebraic and Geometric Topology

数学科学：代数和几何拓扑

• 批准号: 8806444
• 负责人: Thomas Goodwillie
• 金额: $ 12.56万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8806444&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Algebraic; Geometric; Topology

T. Goodwillie will work on algebraic K-theory and its relation with equivariant stable homotopy theory. His previous work, using cyclic homology, was successful in reducing relative Waldhausen K-theory over the rationals to previously known theories. He will now attack a specific conjecture about relative Waldhausen K-theory (not over the rationals), and also address some more loosely formulated related questions. It is impressive how truly geometric are the underlying questions which give rise to the elaborate algebraic theories being considered.

T.古德威利将致力于代数K理论及其 与等变稳定同伦理论的关系 他以前 利用环状同源性的工作成功地减少了相对 Waldhausen K-理论在有理数到先前已知 理论 他现在将攻击一个具体的猜想， 相对Waldhausen K理论（不超过有理数），以及 解决一些更松散的相关问题。 是 令人印象深刻的是， 产生了被考虑的复杂的代数理论。