Finite Simple Groups, Geometries, Buildings, and Related Topics - Conference in Honor of Ernest Shult

有限简单群、几何、建筑物和相关主题 - 纪念欧内斯特·舒尔特的会议

• 批准号: 0010105
• 负责人: Zongzhu Lin
• 金额: $ 1万
• 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: 2001
• 资助国家: 美国
• 起止时间: 2001-03-01 至 2001-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0010105&HistoricalAwards=false
• 关键词: Finite; Simple; Groups; Geometries; Buildings

A conference in honor of Ernie Shult will be held at Kansas State University, from March 22 through March 25, 2001. The conference will involve approximately thirty talks on those parts of algebra and geometry to which Professor Shult has made significant contributions in a long and distinguished career. Thus, the conference will be concerned with developments in the theory of finite simple groups, with geometries related to those groups, and with generalizations of such geometries.Group theory can be described as the algebra associated with symmetry, and finite groups in particular afford a rich mathematical structure and wealth of applications. The finite simple groups may be viewed as the "atoms" of which all finite groups are composed, and for this reason, the announcement, twenty years ago, of the classification of the finite simple groups was a milestone in mathematics. The conference will focus on developments which promise to provide, perhaps for the first time, a satisfactory treatment of this fundamental result. The interplay between geometry and group theory has always been enriching for both subjects and will provide a second focus for this conference.

2001年3月22日至3月25日，将在堪萨斯州立大学举行纪念厄尼·舒尔特的会议。会议将包括大约30场关于代数和几何部分的演讲，Shult教授在其漫长而杰出的职业生涯中对这些部分做出了重大贡献。因此，会议将关注有限单群理论的发展，与这些群相关的几何，以及这些几何的推广。群论可以被描述为与对称相关的代数，特别是有限群提供了丰富的数学结构和丰富的应用。有限单群可以看作是组成所有有限群的“原子”，因此，二十年前有限单群分类的宣布，在数学上是一个里程碑。会议将集中讨论可能第一次令人满意地处理这一基本结果的事态发展。几何和群论之间的相互作用一直丰富着这两个学科，并将为本次会议提供第二个焦点。