Mathematical Sciences: Automorphic Representations, L-Packets and Theta Liftings

数学科学：自守表示、L 包和 Theta 提升

• 批准号: 9106194
• 负责人: Jonathan Rogawski
• 金额: $ 8.65万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1995-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9106194&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Automorphic; Representations; Packets

This award supports the research of Professor J. Rogawski to work in automorphic functions. He intends to work on the relations between L-packets and theta liftings for unitary groups. He intends to first study the quasi-split unitary group U(3) and then try to extend these results to general unitary groups. Modular forms arose out of Non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. 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 and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory.

该奖项支持J. Rogawski教授的研究， 在自守函数中工作。 他打算致力于 在酉群的L-包和θ提升之间。 他 本文拟先研究拟分裂酉群U（3）， 尝试将这些结果推广到一般的酉群。 模形式起源于非欧几何， 世纪中期。 数学家和 因此，物理学家早就意识到， 重要性在其基本性质上是非欧几里德。 此字段为 主要是关于整数的问题，但是 在使用几何和分析时，它保留了与其 历史根源，从而在不同领域的问题， 理论物理理论与信息编码理论 理论