Special Meeting: Southwest Center for Arithmetic Geometry

主要研究者：Savitt，大卫L。提案编号：DMS - 0852464机构：亚利桑那大学标题：特别会议：西南算术几何中心西南算术几何中心成立于1997年，由国家科学基金会资助，并于2002年，2006年和2009年更新。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，已成为一个突出的国家活动，并提供高层次的培训和研究经验的研究生在算术几何。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，其中包括一系列由领先和新兴专家提供的课程。AWS不是一个传统的会议：演讲者组织四个讲座的课程，提前提供讲义，并提出研究生在会议期间工作的项目。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的学生和发言者。最近的冬季学校的主题包括非阿基米德几何，超越理论和二次形式。 即将到来的AWS主题将由未来的数学发展和主要发言人的可用性指导。在冬季学校，同行之间的联系形成，学生和高级研究人员之间的指导关系得到发展。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。经验丰富的研究人员开发新的兴趣，并看到导致重要的出版成果的新的连接;学生朝着成为研究数学家迈出了具体的步伐;博士后助理获得宝贵的指导经验，这有助于发展他们的学术生涯。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。 由于我们的网站将包含每个冬季学校的完整记录，在冬季学校开始的对话将扩展到更大的数学界，冬季学校参与者的努力将无限期地提供给所有数学家。

ABSTRACTPrincipal Investigator: Savitt, David L. Proposal Number: DMS - 0852464 Institution: University of Arizona Title: Special Meeting: Southwest Center for Arithmetic GeometryThe Southwest Center for Arithmetic Geometry was founded in 1997 with grant support from the National Science Foundation, and renewed in 2002, 2006, and 2009. 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 traditional conference: 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. Recent Winter School topics have included non-archimedean geometry, transcendence theory, and quadratic forms. Upcoming AWS topics will be guided by future mathematical developments and the availability of key speakers.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. Experienced researchers develop new interests and see new connections that lead to important published results; students make concrete strides toward becoming research mathematicians; and post-doctoral assistants gain valuable mentoring experience, which helps to develop their academic careers. The Southwest Center website shares reusable content from the Winter Schools, including lecture notes, project descriptions, and audio and video of lectures. 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, and the efforts of the Winter School participants will be available to all mathematicians indefinitely.