Mathematical Sciences: Automorphic L-Functions and the Theory of Endoscopy

数学科学：自同构 L 函数和内窥镜理论

• 批准号: 9301040
• 负责人: Freydoon Shahidi
• 金额: $ 6.34万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1996-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9301040&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Automorphic; Functions; Theory

This grant supports work by Professor Shahidi in the theory of automorphic forms and representation theory. The investigator will study the non-discrete tempered spetrum of classical groups over local fields by means of the theory of endoscopy as developed by Kottwitz, Langlands and Shelstad. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.

这笔赠款支持 Shahidi 教授在自守形式理论和表示论方面的工作。 研究者将利用 Kottwitz、Langlands 和 Shelstad 发展的内窥镜理论，研究局部场上经典群的非离散调和谱。 这是数论领域的研究。 数论从整数和诸如一个整数能否被另一个整数整除之类的问题开始。 它是最古老的数学领域之一，最初纯粹出于美学原因而追求它。 然而，在过去的半个世纪中，它已成为开发计算机科学新算法和电子学新纠错码的重要工具。