Southwest Center for Arithmetic Geometry

西南算术几何中心成立于1997年，得到了NSF集团基础设施拨款的支持，并于2002年由基础设施计划拨款续签。西南中心的主要活动是亚利桑那州冬季学校(AWS)，这是一个已经成为全国知名活动的年度会议，为研究生提供算术几何方面的高水平培训和研究经验。AWS是一个为期五天的密集会议，每年围绕一个不同的中心主题组织，由领先的和新兴的专家提供一系列课程。AWS不是一个传统的会议：演讲者组织四堂课的课程，提前提供课堂讲稿，并提出项目供研究生在会议期间进行研究。每个演讲者在会议期间每晚主持工作会议，最后一天学生向整个小组报告他们的发现。结果是学生和演讲者都进行了特别紧张和专注的五天数学活动。在冬季学校，同学之间建立了联系，学生和高级研究人员之间建立了指导关系。与以往冬季学校的情况一样，各级参与者之间随后的合作是常态。除了继续这一成功的计划外，PI(包括三名新的PI，均为AWS校友)将为这些年度活动引入新功能。私人投资机构提议在冬季学校增加一个博士后培训部分，为每个研究生小组指派一名博士后导师来监督他们的调查。除了经过精心编辑的课堂讲稿和讲座的录像带外，私人投资机构还将在中心的网站上增加新的内容形式，包括讨论论坛和定期更新前几年的专题。通过西南中心网站分享来自冬季学校的可重复使用的内容，冬季学校参与者的努力将无限期地提供给所有数学家。由于我们的网站将包含每个冬季学校的详细记录，因此在冬季学校开始的对话将扩展到更大的数学社区。

The Southwest Center for Arithmetic Geometry was founded in 1997 with support from an NSF Group Infrastructure Grant, and renewed in 2002 with a grant from the Infrastructure program. The main activity of the Southwest Center is the Arizona Winter School (AWS), an annual meeting which has become a prominent national event, and which provides high-level training and research experience for graduate students in arithmetic geometry. The AWS is an intensive five-day meeting, organized around a different central topic each year, which features a set of courses by leading and emerging experts.The AWS is not a traditionalconference: the speakers organize courses of four lectures, with lecture notes provided in advance, and propose projects for graduate students to work on during the meeting. Each speaker hosts working sessions nightly during the meeting, and on the last day the students present their findings to the entire group.The result is a particularly intense and focused five days of mathematical activity for both students and speakers.At the Winter School, connections amongpeers are forged, 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. In addition to continuing this successful program, the PIs (including three new PIs, all AWS alumni) will introduce new features to these annual activities. The PIs propose to add a post-doctoral training component to the Winter School, by assigning to each graduate student group a post-doctoral mentor to oversee their investigations. In addition to well-edited lecture notes and video recordings of lectures, the PIs will add new forms of content to the Center's web site, including discussion forums and periodic updates of topics from previous years. By sharing reusable content from the Winter Schools through the Southwest Center web site, the efforts of the Winter School participants will be available to all mathematicians indefinitely.Since our site will contain a thorough record of each Winter School, the dialogues begun at the Winter School will be extended to the greater mathematical community.