Collaborative Research: Texas-Oklahoma Representations and Automorphic forms (TORA)

合作研究：德克萨斯州-俄克拉荷马州表示和自同构形式 (TORA)

• 批准号: 1132510
• 负责人: Kimball Martin
• 金额: $ 0.8万
• 依托单位: University of Oklahoma Norman Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-08-01 至 2013-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1132510&HistoricalAwards=false
• 关键词: Collaborative; Research; Texas; Oklahoma; Representations

This award provides support for two weekend conferences, one at the University of North Texas in Fall 2011 and the other at Oklahoma State University in Spring 2012. Each conference will feature two or three prominent guest speakers from outside the Texas-Oklahoma region, in addition to other participants including students, post-doctoral researchers, and junior faculty. Regional graduate students and researchers will also give talks describing their work. It is expected that the conferences will facilitate collaborations and interactions among the students and researchers in the region who work in the areas of Automorphic Forms, Representation Theory, and Number Theory. These conferences are planned as the first two of the Texas-Oklahoma Representations and Automorphic (TORA) conference series, pending continued funding. The TORA conference series is planned to consists of semi-annual meetings, hosted by University of North Texas, Oklahoma State University, and University of Oklahoma, on a rotating basis.Over the last century, the theories of automorphic forms and representations have grown enormously. Important applications impact various fields of research, ranging from coding theory, algebraic geometry, and topology to Kac-Moody algebras and quantum field theory. The interplay of automorphic forms and representation theory has been especially fruitful, and many surprising and deep results have emerged. The TORA series will emphasize the interplay between automorphic forms and representations, both in the classical and adelic languages, and other related topics.

该奖项为两个周末会议提供支持，一个是2011年秋季在北德克萨斯大学举行的，另一个是2012年春季在俄克拉荷马州州立大学举行的。每次会议将有两个或三个著名的演讲嘉宾从得克萨斯州以外的俄克拉荷马州地区，除了其他参与者，包括学生，博士后研究人员和初级教师。区域研究生和研究人员也将发表演讲，描述他们的工作。预计会议将促进该地区在自守形式，表示论和数论领域工作的学生和研究人员之间的合作和互动。这些会议计划作为得克萨斯州俄克拉荷马州代表和自治领（TORA）会议系列的前两个，等待继续资助。TORA系列会议计划每半年举行一次，由北德克萨斯大学、俄克拉荷马州州立大学和俄克拉荷马州大学轮流主办。在过去的世纪，自守形式和表示理论有了巨大的发展。重要的应用影响了各个研究领域，从编码理论、代数几何和拓扑到卡茨-穆迪代数和量子场论。自守形式和表示论的相互作用特别富有成果，出现了许多令人惊讶和深刻的结果。TORA系列将强调自守形式和表示之间的相互作用，无论是在古典语言和adelic语言，以及其他相关主题。