Mathematical Sciences: L-functions of Automorphic Forms and Applications

数学科学：自守形式的 L 函数及其应用

• 批准号: 9302732
• 负责人: I. Piatetski-Shapiro
• 金额: $ 8.01万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9302732&HistoricalAwards=false
• 关键词: Mathematical; Sciences; functions; Automorphic; Forms

This grant supports the work of Dr. Piatetski-Shapiro to work on projects related to Langland's program. These projects include the problem of unitarity under functorial lifting and is related to the failure of the generalized Ramanujan conjecture. The second project is devoted to a problem of lifting from classical groups to GL(n). The third project is devoted to modelling Langland's correspondence over a finite field. 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Piatetski-Shapiro博士的工作， 与朗兰德项目有关的项目 这些项目包括 函子提升下的酉性问题，并与 广义拉马努金猜想的失败 第二 项目致力于从经典群提升到 GL（n）。 第三个项目致力于模拟朗兰的 有限域上的对应 这是数论领域的研究。 Number 理论开始于整数和问题，如 一个整数被另一个整数整除。 它是其中的 最古老的数学领域，它最初是追求 纯粹的美学原因。 然而，在过去的半个世纪里， 它已经成为开发新算法的重要工具， 计算机科学和新的电子纠错码。