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

这笔赠款支持沙希迪教授在自同构形理论和表示理论方面的工作。研究者将利用Kottwitz，Langland和Shelstad发展的内窥镜理论来研究局域上经典群的非离散回火谱。这是数论领域的研究。数论始于整数和诸如一个整数被另一个整数整除的问题。它是最古老的数学领域之一，最初是出于纯粹的美学原因。然而，在过去的半个世纪里，它已经成为开发计算机科学的新算法和电子产品的新纠错码的必要工具。

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.