Collaborative Research - Mathematical Sciences: Los Angeles Number Theory Group

这一奖项授予加州大学洛杉矶分校，以支持洛杉矶数论小组，这是数学科学研究小组类别中的一项研究活动。该小组的四名主要成员是加州大学的Haruzo Hida教授、Jonathan Rogawski教授和Don Blasius教授，以及加州理工学院的Dinakar Ramakrishnan教授。该奖项的目的是使自同构形式和表征领域的外部研究人员有可能访问大洛杉矶地区。非欧几里得平面几何始于十九世纪初，最初是一种数学奇闻，但到那个世纪末，数学家们已经意识到许多具有根本重要性的物体本质上都是非欧几里得的。对非欧几里得平面几何的详细研究已经产生了现代数学的几个分支，其中模和自同构形的研究是最活跃的之一。这一领域主要涉及关于整数的问题，但在几何和分析的使用中，它保留了与其历史根源的联系。

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.