Moduli Spaces and Arithmetic Geometry; Lorentz Center, Leiden, The Netherlands; November 9-13, 2015

这一奖项是为了支持美国参与一个为期一周的研讨会，从2015年9月11日到2015年11月13日，该研讨会将由莱顿的洛伦茨中心主办，题为“模空间和算术几何”。这次研讨会将展示算术代数几何的许多当前令人兴奋的发展，由最高水平的领先专家介绍；例如，在16名确认的特邀演讲者中，有两名菲尔兹奖牌获得者。该计划旨在鼓励不同领域和不同世代的参与者之间的互动，以便他们可以集思广益，相互激励，以求进一步进步。研讨会将包括两个迷你剧，每个迷你剧有四个讲座，分别关于安德烈-奥尔特猜想和K3曲面，这两个曲面近年来取得了重大突破。例如，来自数理逻辑的o-最小性概念是导致安德烈-奥尔特猜想最近取得突破的新输入。除了八个专题讲座外，还将有十个算术几何一般领域的顶尖专家的讲座，以及两个针对更广泛听众的口语式讲座。在为期五天的研讨会中，有四天还将有问答环节，专门针对职业生涯早期的研究人员，以促进年轻参与者之间的互动，并帮助他们就自己感兴趣的主题与专家联系。研讨会网站是www.lorentzcenter.nl/lc/web/2015/736/info.php3?wsid=736&amp；venue=Oort.

This is an award to support US involvement in a week-long workshop, from 11/09/2015 to 11/13/2015, titled "Moduli Spaces and Arithmetic Geometry," which will be hosted by the Lorentz Center in Leiden. This workshop will feature many of the current, exciting developments in arithmetic algebraic geometry, presented by leading experts of the highest level; for instance among the 16 confirmed invited speakers are two Fields medalists. The program is designed to stimulate interaction between participants in diverse areas and of different generations, so that they can brainstorm and stimulate each other for further progress.The workshop will feature two miniseries with four lectures each, on Andre-Oort conjecture and K3 surfaces respectively, where major breakthroughs have taken place in recent years. For instance the notion of o-minimality, a concept from mathematical logic, is the new input which led to the recent breakthrough in the Andre-Oort conjecture. In addition to the eight thematic talks there will be ten lectures by top experts in the general area of arithmetic geometry, plus two colloquium-style lectures aimed at a wider audience. There will also be Q&A sessions in four of the five days of the workshop, exclusively for early-career researchers, to stimulate interactions among the younger participants, and to help them to get in touch with experts on topics that are of interest for them.The workshop website is www.lorentzcenter.nl/lc/web/2015/736/info.php3?wsid=736&venue=Oort.