The Boot Camp for the 2015 Algebraic Geometry Summer Research Institute

2015年代数几何暑期研究院集训营

• 批准号: 1500652
• 负责人: Angela Gibney
• 金额: $ 4.99万
• 依托单位: University of Georgia Research Foundation Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-02-15 至 2016-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1500652&HistoricalAwards=false
• 关键词: Boot; Camp; 2015; Algebraic; Geometry

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.

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)代数几何暑期研究所之前的“训练营”。代数几何界已经形成了每十年举办一次研究所的悠久传统，目的是召集世界上大多数从业者概述过去十年的发展，并概述下一个十年最紧迫和影响深远的问题。下一届AMS代数几何暑期学院将于2015年7月13日至31日在盐湖城犹他大学举行。代数几何已经变得越来越多样化，对技术的要求也越来越高，以至于研究生和博士后很难掌握他们直接研究领域以外的技术和广泛的活动。因此，在该研究所之前的一周内举办一个专门为高级研究生和博士后研究人员设计的“新兵训练营”已成为当务之急。新兵训练营的目的有三个：1)使参与者在非正式环境中熟悉代数几何的广泛发展，从而提高他们跟踪讨论和参与研究所工作的能力；2)向他们的同行和上一代专家介绍年轻的代数几何学家，以增加合作，并组成一个支持青年研究人员的小组。3)向青年研究人员介绍新的技术和问题，使他们成为更有效的研究人员。训练营将集中于代数几何中的几个在过去十年中取得重大进展的学科，包括二次几何、Bridgeland稳定性、Hassett-Keel程序、p-adadHodge理论、Shimura簇、完美拟空间、曲线的模空间的重言环、BOIJ-Soderbeg理论和特征p中的奇点。新兵训练营将产生广泛而广泛的影响，因为它将向彼此介绍最有活力和最聪明的年轻代数几何研究生和博士后。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学科的留存率和成功。有关新兵训练营的更多细节可在其网站上找到：http://www.math.utah.edu/~defernex/Bootcamp2015/home.html.