Apollonian Circle Packings

这笔赠款资助美国的讲师，组织者和学生参加阿波罗圆包装暑期学校在研究所米塔格-莱弗勒，斯德哥尔摩，在2014年6月23日至27日（由欧洲妇女数学协会和欧洲数学学会共同主办的第六届欧洲妇女数学暑期学校）。暑期学校将以Elena Fuchs博士（伯克利）和Hee Oh教授（耶鲁大学）关于阿波罗圆包装和相关概念的系列讲座为特色，如薄群的轨道，几何群论，均匀分布，仿射筛，强逼近和扩展。这一领域处于当前数学的前沿;许多重大突破都发生在过去的5-7年中，自2011年以来，至少有17篇关于这些主题的论文出现。研究生和博士后将受益于学习这些方法在一个统一的介绍，联系所有这些想法回到不可抗拒的美丽的阿波罗圆包装。更多信息可以在暑期学校网页上找到：http://www.math.ucsd.edu/~alina/ewm/This暑期学校将对全球年轻数论家社区产生广泛影响，因为它将为这个快节奏的研究领域提供一个切入点，并将丰富研究生和博士后参与者的技能。此外，由于其结构上的重点是性别平等，这个暑期学校将在留住已经从事数论的妇女，以及吸引更多的女性研究人员到该领域发挥关键作用。通过在国际舞台上突出两位女讲师的研究，暑期学校将提高她们的知名度，特别是对该领域的年轻研究人员。学校还将让参与者有机会获得有关数论迷人新发展的专业知识，以及对该领域当前开放问题的认识。最后，参与者将学习数论与数学其他部分之间的联系，同时扩大他们的数学工具箱，从而补充他们的教育，并帮助他们开始成功的独立研究计划。

This grant funds the participation of US-based lecturers, organizers, and students in the Apollonian Circle Packings Summer School at the Institut Mittag-Leffler, Stockholm, during June 23-27, 2014 (co-hosted by the European Women in Mathematics association and the European Mathematical Society as the 6th European Women in Mathematics Summer School). The summer school will feature lecture series by Dr. Elena Fuchs (Berkeley) and Prof. Hee Oh (Yale University) on Apollonian circle packings and related concepts such as orbits of thin groups, geometric group theory, equidistribution, the affine sieve, strong approximation and expanders. This area is on the cutting edge of current mathematics; many of the major breakthroughs have occurred in the last 5-7 years, and at least 17 papers on these subjects have appeared since 2011. Graduate students and postdocs will benefit from learning about these methods in a unified presentation that ties all of these ideas back into the irresistible beauty of Apollonian circle packings. Further information may be found on the summer school webpage: http://www.math.ucsd.edu/~alina/ewm/This summer school will have potential for broad impact on the worldwide community of young number theorists, as it will provide an entry point to this fast-paced area of research, and will enrich the skills of graduate student and postdoc participants. In addition, due to its structural focus on gender parity, this summer school will serve a key role in retaining women who are already engaged in number theory, as well as in attracting more female researchers to the field. By highlighting the research of the two featured female lecturers on the international stage, the summer school will increase their visibility, particularly for younger researchers in the field. The school will also give participants the chance to gain specialized knowledge on fascinating new developments in number theory as well as an awareness of current open problems in the field. Finally, participants will learn about connections between number theory and other parts of mathematics while enlarging their mathematical toolboxes, thus supplementing their educations and aiding them in starting successful independent research programs.