Equidistribution and Arithmetic Dynamics

这笔赠款将支持与会者参加2022年6月在俄克拉荷马州立大学举行的为期一周的均匀分布和算术动力学会议。会议将由传播和教育两部分组成；也就是说，它将提供对当前研究的讨论，以及该领域的教育机会，将与会者带到当前技术和研究的前沿。除了每天的全体报告外，还将通过为早期职业研究人员和研究生开设小型课程和问题会议来实现这一点，并将特别努力从历史上代表性不足的群体中招募女性和参与者。然而，在过去的二十年里，在研究代数数的分布方面取得了许多根本性的进展，更广泛地说，在各种数论背景下，对于小高度点的研究。因此，专门讨论这一系列问题的会议是及时和必要的。它将总结主要成就，并将促进这一快速发展领域中不同研究方向之间的思想和方法交流。将有几个问题会议和讨论小组，帮助编制问题清单并制定解决问题的可能方法。这次会议将极大地促进来自不同领域和背景的数学家在均匀分布问题上的未来进展和合作。有关更多信息，请参见会议网站https://cas.okstate.edu/department_of_mathematics/department_of_mathematics_ead.html.This奖，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智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This grant will provide support for participants to attend a week-long conference on Equidistribution and Arithmetic Dynamics that will be held at Oklahoma State University during June 2022. The conference will consist of equal parts dissemination and education; that is, it will offer both a discussion of current research, and the opportunity for education in the area, bringing participants to the forefront of current techniques and research. Besides the daily plenary presentations, this will be done by including mini-courses and problem sessions for earlier career researchers and graduate students, and a particular effort will be made to recruit women and participants from historically underrepresented groups.The topic of equidistribution is classical in Number Theory. However, there have been many fundamental advances in the study of distribution for algebraic numbers, and more generally, for points of small height in various number theoretic settings, during the latest two decades. Thus, a conference dedicated to this circle of problems is both timely and necessary. It will summarize major achievements, and will also facilitate exchange of ideas and methods between various directions of research in this rapidly developing area. There will be several problem sessions and discussion groups that will help to compile a list of problems and set possible approaches to their solutions. This conference will greatly stimulate future progress and collaboration on equidistribution problems between mathematicians from different fields and backgrounds. For more information, see the conference website https://cas.okstate.edu/department_of_mathematics/department_of_mathematics_ead.html.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.