Mathematical Sciences: Topology Conference at UW Madison

数学科学：威斯康星大学麦迪逊分校拓扑学会议

• 批准号: 9107663
• 负责人: Alejandro Adem
• 金额: $ 0.75万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1992-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9107663&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Topology; Conference; UW

In recent years, the field of algebraic topology has become increasingly applied to problems in geometry and physics. Homotopy-theoretic techniques have yielded new insight into problems derived from gauge theory; there has been important progress in applying topological techniques to problems in modular representation theory; and geometric information can now be extracted from group cohomology, which serves as a fertile common ground for an exchange of ideas from representation theory, group actions and stable homotopy. This grant will support a conference in algebraic topology at the University of Wisconsin in the fall of 1991. The invited speakers are the top researchers in the field and the conference is likely to result in fundamental advances, both in topology and in the applications of topology, and in fruitful interactions between the disparate fields of mathematics and mathematical physics.

近年来，代数拓扑学越来越多地应用于几何和物理问题。同伦论技术为规范理论衍生的问题提供了新的见解；在将拓扑技术应用于模表示论问题方面取得了重要进展；几何信息现在可以从群上同调中提取出来，这为从表示论、群作用和稳定同伦中交换思想提供了肥沃的共同点。这笔赠款将支持1991年秋天在威斯康星大学举行的代数拓扑学会议。被邀请的演讲者是该领域的顶尖研究人员，这次会议可能会在拓扑学和拓扑学的应用方面取得根本性的进展，并在不同的数学和数学物理领域之间进行富有成效的互动。