Arizona Winter School in Arithmetic Geometry

在该奖项的支持下，西南算术几何中心将在2016年，2017年，2018年继续其年度“冬季学校”系列，2016年亚利桑那州冬季学校将于2016年3月11日至16日在亚利桑那州图森市的亚利桑那大学举行。 自1997年成立以来，西南中心的主要活动是亚利桑那州冬季学校（AWS），这是一个年度会议，已成为一个突出的全国性活动，并为算术几何和相关领域的研究生提供高水平的培训和研究经验。AWS是一个为期五天的密集会议，每年围绕不同的中心主题组织，其特色是由领先和新兴专家精心设计和交付的一系列课程和配套研究项目。在冬季学校，同龄人之间的联系形成，并发展学生和高级研究人员之间的指导关系。与以往的冬季学校一样，各级参与者之间的后续合作是常态。学生们朝着成为研究数学家的方向迈出了具体的步伐，博士后助理在他们的学术生涯中获得了宝贵的指导经验，教师们发展了新的兴趣，并看到了导致重要成果发表的新联系。西南中心网站分享冬季学校的可重复使用的内容，包括讲义，项目描述，以及讲座的音频和视频。通过这些完整的记录，从AWS开始的对话扩展到更大的社区，AWS参与者的努力可以自由和无限期地向所有人开放。AWS是传统数学会议和密集研究研讨会的独特融合：演讲者组织四个讲座的课程，提前提供讲座笔记，并在会议期间为研究生提出研究项目。关于这些项目和单独问题集的夜间工作会议由演讲者和博士后研究员主持。在最后一天，学生们向与会者介绍他们的发现。其结果是一个特别激烈和集中的五天的数学活动，每个人都参与。 最近的冬季学校的主题包括“模形式和模曲线”，“算术统计”和“算术和高维变量”。“即将到来的冬季学校的主题将由未来的数学发展指导。 关于即将到来的和过去的亚利桑那州冬季学校计划的更多信息可以在西南中心的网站上找到：http://swc.math.arizona.edu/

With support from this award, the Southwest Center for Arithmetic Geometry will continue its series of annual "Winter Schools" in 2016, 2017, 2018, with the 2016 Arizona Winter School taking place March 11-16, 2016 at the University of Arizona in Tucson, AZ. Since its founding in 1997, the primary activity of the Southwest Center is the Arizona Winter School (AWS), an annual meeting which has become a prominent national event and provides high-level training and research experience for graduate students in arithmetic geometry and related areas. The AWS is an intensive five-day meeting, organized around a different central topic each year, that features a set of courses and accompanying research projects carefully designed and delivered by leading and emerging experts. At the Winter School, connections among peers are formed, and mentoring relationships between students and senior researchers are developed. As has been the case at previous Winter Schools, subsequent collaborations between participants at all levels are the norm. Students make concrete strides toward becoming research mathematicians, post-doctoral assistants gain valuable mentoring experience in their academic careers, and faculty develop new interests and see new connections that lead to important published results. The Southwest Center website shares reusable content from the Winter Schools, including lecture notes, project descriptions, and audio and video of lectures. Through these thorough records, the dialogues begun at the AWS are extended to the greater community, and the efforts of the AWS participants are made freely and indefinitely available to all.The AWS is a unique fusion of traditional mathematics conference and intensive research workshop: the speakers organize courses of four lectures, provide lecture notes in advance, and propose research projects for graduate students to work on during the meeting. Nightly working sessions on these projects and on separate problem sets are run by the speakers and postdoctoral fellows. On the last day, students present their findings to the participants of the meeting. The result is a particularly intense and focused five days of mathematical activity for everyone involved. Recent Winter School topics have included "Modular forms and modular curves", "Arithmetic statistics", and "Arithmetic and higher dimensional varieties." The topics of upcoming Winter Schools will be guided by future mathematical developments. More information about the upcoming and past Arizona Winter School programs can be found at the Southwest Center's website: http://swc.math.arizona.edu/