Analytic Methods in Arithmetic Geometry
Analytic Methods in Arithmetic
Geometry
复制标题
算术几何解析方法
DOI：
10.1090/conm/740
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
David Zureick
中科院分区：
文献类型：
--
作者：
A. Bucur;David Zureick
这本书包含了2016年3月12日至16日在图森亚利桑那大学举行的第十九届亚利桑那州冬季学校讲座的随附笔记。亚利桑那州冬季学校是一个为期五天的密集会议，每年围绕算术几何的不同中心主题组织，有几个由领先和新兴专家开设的课程(用一位与会者的话说，是一次年度朝圣)。冬季学校是西南算术几何中心的主要活动，该中心成立于1997年，由在美国西南部工作的七名数学家组成，自那时以来一直得到国家科学基金会的支持；近年来，它是与克莱数学研究所合作组织的。亚利桑那州冬季学校的独特之处在于它的形式。每个演讲者提出一个项目，在冬季学校开始前一个月，演讲者被分配到一组从事该项目工作的研究生。演讲者还提供课堂讲稿和参考书目。在实际上课期间，演讲者和他或她的学生小组每天晚上都要做指定的项目。在工作坊的最后一天，每组的学生向全校介绍他们的工作。结果是一个特别紧张和专注的五天数学活动(对学生和演讲者都是如此)。2016年冬季学校的主题是算术几何中的解析方法，演讲者是Alina Carmen Cojcaru、Harald AndréS Helfgot、Philippe Michel和Andrew Sutherland。艾蒂安·福夫里、伊曼纽尔·科瓦尔斯基和威尔·萨文作为共同作者加入了米歇尔的行列。我们感谢作者在冬季学校之前、期间和之后所做的辛勤工作。匿名审稿人提出了许多宝贵的意见，我们感谢他们仔细阅读了这份手稿。我们也感谢IAS数学学院和西蒙斯基金会(#524015)对Alina Bucur的支持，以及国家科学基金会(授予DMS-1555048)在编辑本卷时对David Zureick-Brown的支持。最后，我们感谢西南中心的其他成员(过去和现在)；正是由于他们的努力，冬季学校才能以现在的形式存在。
This volume contains notes which accompanied the lectures at the nineteenth annual Arizona Winter School, held March 12–16, 2016, at the University of Arizona in Tucson. The Arizona Winter School is an intensive five-day meeting, each year organized around a different central topic in arithmetic geometry, featuring several courses by leading and emerging experts (“an annual pilgrimage,” in the words of one participant). The Winter School is the main activity of the Southwest Center for Arithmetic Geometry, which was founded in 1997 by a group of seven mathematicians working in the southwest United States, and which has been supported since that time by the National Science Foundation; in recent years it has been organized in partnership with the Clay Mathematics Institute. The special character of the Arizona Winter School comes from its format. Each speaker proposes a project, and a month before the Winter School begins, the speaker is assigned a group of graduate students who work on the project. The speakers also provide lecture notes and a bibliography. During the actual school the speaker and and his or her group of students work every evening on the assigned project. On the last day of the workshop, the students from each group present their work to the whole school. The result is a particularly intense and focused five days of mathematical activity (for the students and speakers alike). The topic of the Winter School in 2016 was Analytic Methods in Arithmetic Geometry, and the speakers were Alina Carmen Cojocaru, Harald Andrés Helfgott, Philippe Michel, and Andrew Sutherland. Étienne Fouvry, Emmanuel Kowalski, and Will Sawin join Michel as co-authors. We thank the authors for their hard work before, during, and after the Winter School. The anonymous reviewers made numerous valuable comments, and we thank them for their careful reading of this manuscript. We also thank the IAS School of Mathematics and Simons Foundation (# 524015) for their support of Alina Bucur, and NSF (grant DMS-1555048) for their support of David Zureick-Brown while editing this volume. Finally, we are indebted to the other members (past and present) of the Southwest Center; it is thanks to their efforts that the Winter School exists in its present form.