Collaborative Research - Mathematical Sciences: Los Angeles Number Theory Group

合作研究 - 数学科学：洛杉矶数论小组

• 批准号: 8922743
• 负责人: Haruzo Hida
• 金额: $ 4.85万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-05-01 至 1994-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8922743&HistoricalAwards=false
• 关键词: Collaborative; Research; Mathematical; Sciences; Los

This award to the University of California at Los Angeles supports the Los Angeles Number Theory Group, a research activity in the category of Mathematical Sciences Research Groups. The four principal members of the Group are Professors Haruzo Hida, Jonathan Rogawski, and Don Blasius of the University of California, and Professor Dinakar Ramakrishnan of the California Institute of Technology. The purpose of the award is to make possible visits to the greater Los Angeles area by outside researchers in the field of automorphic forms and representations. Non-Euclidean plane geometry began in the early nineteenth century as a mathematical curiosity, but by the end of that century, mathematicians had realized that many objects of fundamental importance are non-Euclidean in their basic nature. The detailed study of non-Euclidean plane geometries has given rise to several branches of modern mathematics, of which the study of modular and automorphic forms is one of the most active. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots.

这个奖项授予加州大学洛杉矶分校 支持洛杉矶数论小组的研究活动 数学科学研究小组的类别。的 该小组的四名主要成员是希达教授， 乔纳森·罗加夫斯基和伦敦大学的唐·布拉修斯 加州的Dinakar Ramakrishnan教授 理工学院该奖项的目的是使 可能的访问大洛杉矶地区的外部 自守形式领域的研究人员， 表示。 非欧平面几何始于19世纪初 世纪作为一个数学的好奇心，但在年底， 世纪，数学家们已经意识到， 基本的重要性是非欧几里德在其基本性质。 对非欧平面几何的详细研究， 上升到现代数学的几个分支，其中 模和自守形式的研究是最活跃的研究之一。 此字段主要涉及有关 整数，但在其使用的几何和分析，它 与其历史根源保持联系。