Equidistribution and Arithmetic Dynamics

这项拨款将为参与者提供支持，参加将于2022年6月在俄克拉荷马州立大学举行的为期一周的均分和算术动力学会议。会议将由宣传和教育两部分组成；也就是说，它将提供对当前研究的讨论和该领域教育的机会，将参与者带到当前技术和研究的最前沿。除了每天的全体会议报告外，还将为早期职业研究人员和研究生开设小型课程和问题讨论会，并将特别努力从历史上代表性不足的群体中招募妇女和参与者。平均分配问题是数论中的一个经典问题。然而，在最近二十年中，在代数数的分布研究中，更一般地说，在各种数论设置中，小高度点的分布研究取得了许多根本性的进展。因此，召开一次专门讨论这一问题的会议既及时又必要。它将总结主要成果，也将促进在这个快速发展的领域的不同研究方向之间的思想和方法的交流。将有几个问题会议和讨论小组，这将有助于编制问题清单并确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分问题上的未来进步和合作。欲了解更多信息，请参阅会议网站https://cas.okstate.edu/department_of_mathematics/department_of_mathematics_ead.html.This该奖项反映了NSF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 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.