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

该奖项支持TORA数学系列会议。该系列由北德克萨斯大学、俄克拉何马州立大学和俄克拉何马大学轮流主办的年度会议组成。该奖项为三个周末会议提供支持，一个在2024年春季在北德克萨斯大学（TORA XIII），一个在2025年春季在俄克拉荷马州立大学（TORA XIV），另一个在2026年春季在俄克拉荷马大学（TORA XV）。每次会议都将有三位来自德克萨斯州-俄克拉何马州地区以外的杰出演讲嘉宾，以及包括学生、博士后研究人员和初级教师在内的其他参与者。地区研究生和研究人员也将发表演讲，介绍他们的工作。这些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。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，从数论、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会议系列将强调自同态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中，以及分析数论和调和分析等相关主题。会议德克萨斯州-俄克拉何马州表示和自同构形式XIII将于2024年4月12日至14日在北德克萨斯大学举行。更多信息可以在会议网站上找到：https://www.math.unt.edu/~richter/TORA/TORA13.htmlThis该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

This award supports the TORA mathematics conference series. This series consists of annual meetings hosted by the University of North Texas, Oklahoma State University, and the University of Oklahoma on a rotating basis. This award provides support for three weekend conferences, one at the University of North Texas in Spring 2024 (TORA XIII), one at Oklahoma State University in Spring 2025 (TORA XIV), and another at the University of Oklahoma in Spring 2026 (TORA XV). Each conference will feature 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. These 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.Over the last century, the theories of automorphic forms and representations have grown enormously. Important applications impact various fields of research, ranging from number theory, 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 conference series will emphasize the interplay between automorphic forms and representations, both in the classical and adelic languages, and related topics like analytic number theory and harmonic analysis.The conference Texas-Oklahoma Representations and Automorphic forms XIII will take place on April 12-14, 2024, at the University of North Texas. Additional information can be found on the conference website: https://www.math.unt.edu/~richter/TORA/TORA13.htmlThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.