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.

该赠款支持Shahidi教授在自动形式和代表理论理论方面的工作。 研究人员将通过科特维茨，兰兰兹和谢尔斯塔德开发的内窥镜理论研究当地田地上古典群体的非差异脾气暴躁。 这是数字理论领域的研究。 数字理论始于整个数字和问题，例如一个整数的划分。 它是数学最古老的领域之一，最初是出于纯粹的审美原因而追求的。 但是，在过去的半个世纪中，它已成为开发用于计算机科学的新算法的重要工具，并为电子设备纠正新的错误代码。