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

该奖项为两场周末会议提供支持，一场于2011年秋季在北德克萨斯大学举行，另一场于2012年春季在俄克拉荷马州立大学举行。每次会议都将有两到三位来自德克萨斯州-俄克拉何马州地区以外的著名演讲嘉宾，以及其他参与者，包括学生、博士后研究人员和初级教师。地区研究生和研究人员也将发表演讲，介绍他们的工作。预计会议将促进该地区在自同构形式，表示理论和数论领域工作的学生和研究人员之间的合作和互动。这些会议计划作为德克萨斯-俄克拉何马州代表和自同构（TORA）系列会议的前两个，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、俄克拉何马州立大学和俄克拉何马大学轮流主办。在过去的一个世纪里，自同构形式和表征的理论得到了极大的发展。重要的应用影响着各个研究领域，从编码理论、代数几何、拓扑学到Kac-Moody代数和量子场论。自同构形式和表征理论的相互作用尤其富有成果，出现了许多令人惊讶和深刻的结果。TORA系列将强调自同构形式和表示之间的相互作用，无论是在古典语言还是阿德莱德语言，以及其他相关主题。

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.