The Boot Camp for the 2015 Algebraic Geometry Summer Research Institute

该奖项支持研究生和博士后研究人员参加2015年7月6日至10日在盐湖城犹他大学举行的美国数学学会（AMS）暑期代数几何学院之前的“新兵训练营”。代数几何学界已经形成了一个长期的传统，即每十年举办一次研究所，目的是召集世界上大多数实践者来概述过去十年的发展，并概述下一个十年最紧迫和最深远的问题。下一届AMS暑期代数几何学院将于2015年7月13日至31日在盐湖城的犹他大学举行。代数几何越来越多样化，对技术的要求越来越高，以至于研究生和博士后很难掌握他们直接研究领域之外的技术和广泛的活动。因此，在专门为高级研究生和博士后研究人员设计的研究所的前一周，必须进行“新兵训练营”。训练营的目的有三个：1)让参与者在非正式的环境中熟悉代数几何的广泛发展，从而提高他们在学院讨论和参与的能力。2)将年轻的代数几何学者介绍给他们的同龄人和上一代专家，以增加合作，并为年轻的研究人员形成一个支持小组。3)向年轻研究人员介绍新技术和新问题，使他们成为更有效的研究人员。该训练营将重点关注代数几何中在过去十年中取得重大进展的几个主题，包括双几何，布里奇兰稳定性，哈塞特-龙骨计划，p-adic Hodge理论，志村变种，完美曲面空间，曲线模空间的同构环，Boij-Soderbeg理论和特征p的奇点。主题的选择是与AMS代数几何暑期学院组织者协调的结果。新兵训练营将带来更广泛的影响，因为它将把最有活力、最聪明的年轻代数几何研究生和博士后相互介绍给对方。预计这种互动将产生许多新的合作。除了科学上的好处，年轻的研究人员将形成一个同行的支持网络，这可以显著提高STEM学科的保留率和成功率。有关训练营的更多细节可以在其网站上找到：http://www.math.utah.edu/~defernex/Bootcamp2015/home.html。

This award supports the participation of graduate students and postdoctoral researchers in the "Boot Camp" preceding the American Mathematical Society (AMS) Summer Institute in Algebraic Geometry on July 6-10, 2015 at the University of Utah, Salt Lake City. The algebraic geometry community has developed the now longstanding tradition of running an institute every ten years with the purpose of convening a majority of practitioners in the world to overview the developments of the past decade and to outline the most pressing and far-reaching problems for the next. The next AMS Summer Institute in Algebraic Geometry will take place at the University of Utah, Salt Lake City, on July 13-31, 2015. Increasingly, algebraic geometry has become so diverse and technically demanding that it is daunting for graduate students and postdocs to master the techniques and wide range of activity that occurs in the field beyond their immediate areas of study. It has thus become imperative to run a "boot camp" in the week preceding the institute designed exclusively for advanced graduate students and postdoctoral researchers. The purpose of the boot camp is threefold:1) To familiarize the participants with a broad range of developments in algebraic geometry in an informal setting, thus increasing their ability to follow discussions and participate at the institute.2) To introduce young algebraic geometers to their peers and the previous generation of experts in order to increase collaborations and form a support group for young researchers.3) To introduce young researchers to new techniques and questions in order to make them more effective researchers. The boot camp will focus on several subjects in algebraic geometry that have seen significant advances in the last decade, including birational geometry, Bridgeland stability, the Hassett-Keel program, p-adic Hodge theory, Shimura varieties, perfectoid spaces, the tautological ring of the moduli spaces of curves, Boij-Soderbeg theory, and singularities in characteristic p. The choices of topics are results of coordination with the organizers of the AMS Summer Institute in Algebraic Geometry. The boot camp will have wide-ranging broader impacts as it will introduce the most dynamic and brightest young algebraic geometry graduate students and postdocs to each other. It is expected that many new collaborations will result from this interaction. In addition to the scientific benefits, young researchers will form a support network of their peers, which can significantly improve retention and success in the STEM disciplines. More details about the boot camp can be found at its website: http://www.math.utah.edu/~defernex/Bootcamp2015/home.html.