Texas-Oklahoma Representations and Automorphic Forms Conference Series

该奖项支持参加德克萨斯-俄克拉何马州代表和自同构形式（TORA）会议系列的三次会议。该系列的第十次会议将于2019年4月5日至7日在德克萨斯州丹顿的北德克萨斯大学举行。详细信息可在TORA X网页上查阅：http://www.math.unt.edu/~richter/TORA/TORA10.html。该系列随后的两次会议分别定于2020年春季在俄克拉荷马州斯蒂尔沃特市的俄克拉荷马州立大学和2021年春季在俄克拉荷马州诺曼市的俄克拉荷马州大学举行。每次TORA会议将邀请三位来自德克萨斯州-俄克拉何马州以外地区的全体发言人：两位杰出的高级研究人员和一位有前途的初级数学家。此外，地区研究生和研究人员将介绍他们的工作。这些周末的会议将为该地区专门从事数论、自同构形式和表示理论的学生和研究人员提供宝贵的合作和互动机会。自同构形式和表征理论之间的相互作用最近出现了一些令人兴奋的新发展，这也推动了其他几个领域的应用。这些发展包括正交群和辛群表示的内视镜分类，以及扩展到覆盖群的经典群分类的证明。TORA系列会议成功地汇集了本地区及其他地区从事自同构形式和表征理论研究的研究人员及其学生，并推动了创新和合作。TORA X-XII将继续在机构之间以及数学领域之间的合作和交流方面取得成功。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award supports participation in three meetings of the Texas-Oklahoma Representations and Automorphic Forms (TORA) conference series. The tenth meeting of the series will be held at the University of North Texas in Denton, TX, on April 5-7, 2019. Detailed information is available on the TORA X webpage: http://www.math.unt.edu/~richter/TORA/TORA10.html . The subsequent two conferences in the series are scheduled at Oklahoma State University in Stillwater, OK in Spring 2020 and at the University of Oklahoma in Norman, OK in Spring 2021, respectively. Each TORA conference will feature three invited plenary speakers from outside the Texas-Oklahoma region: two prominent senior researchers and one promising junior mathematician. In addition, regional graduate students and researchers will present their work. These weekend conferences will provide valuable opportunities for collaboration and interaction among the students and researchers in the region specializing in number theory, automorphic forms, and representation theory. The interplay between automorphic forms and representation theory has recently seen several exciting new developments, which also fuel applications to several other fields. These developments include endoscopic classification of representations of orthogonal and symplectic groups and a proof of classification for classical groups that extends to covering groups. The TORA conference series has been successful in bringing together researchers working in automorphic forms and representation theory from the region and beyond, as well as their students, and in propelling innovation and collaboration. TORA X-XII will continue this success in collaborations and exchanges not only between institutions, but also among mathematical areas.This 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.