Geometry of Groups & Lattices

群的几何

• 批准号: 9405379
• 负责人: John Conway
• 金额: $ 22.17万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9405379&HistoricalAwards=false
• 关键词: Geometry; Groups; & Lattices

9405379 Conway This award funds the research of Prof. John Conway in geometry. Prof. Conway will study the geometry of the Monster group and other sporadic groups. He is also interested in geometrical problems associated with quantum logic. Prof. Conway will also continue his investigations into the arithmetic and geometric properties of quadratic forms. This is research in the field of number theory. Number theory is basically the study of whole numbers, but it uses techniques and ideas from all other parts of mathematics. Prof. Conway will study certain algebraic objects using the geometry associated with them. This geometry manifests itself through sequences of integers. Within the last half century, this type of number theory has become doubly important as it has been used to establish advances in computer science and electronics. ***

9405379 Conway 该奖项资助 John Conway 教授的几何​​研究。 康威教授将研究怪物群和其他零星群的几何形状。 他还对与量子逻辑相关的几何问题感兴趣。 康威教授还将继续研究二次形式的算术和几何性质。 这是数论领域的研究。 数论基本上是对整数的研究，但它使用了数学所有其他部分的技术和思想。 康威教授将使用与其相关的几何学来研究某些代数对象。 这种几何形状通过整数序列表现出来。 在过去的半个世纪中，这种类型的数论变得更加重要，因为它已被用来推动计算机科学和电子学的进步。 ***