Recent Advances in Algebraic Geometry

代数几何的最新进展

• 批准号: 1262798
• 负责人: Mircea Mustata
• 金额: $ 4.97万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-03-01 至 2015-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1262798&HistoricalAwards=false
• 关键词: Recent; Advances; Algebraic; Geometry

The conference "Recent Advances in Algebraic Geometry" will be held May 16--19, 2013 at the University of Michigan, Ann Arbor. The motivation behind the conference is the extraordinary progress made in the past decade in our understanding of the geometry of higher dimensional algebraic varieties, as well as in areas such as Hodge theory, enumerative geometry, or syzygies. It will bring together leading experts in Algebraic Geometry, to inform the audience of the major developments of the past few years, to propose new research directions, and to establish connections between different subfields. The following themes will be represented at the conference: the Minimal Model Program and its applications, vanishing theorems and multiplier ideals, derived categories and applications, Hodge theory and complex geometry, moduli spaces and enumerative geometry, commutative and computational algebra. More details about the conference, as well as the list of confirmed speakers, are available at the conference website, at http://homepages.math.uic.edu/~mpopa/robfest/The conference will focus on some of the outstanding recent developments in Algebraic Geometry. The speakers have been chosen on the basis of their research contributions to the field, but also for their expository skills and dedication to the development of younger generations of researchers and teachers in mathematics. Some have produced many of the most important textbooks and advanced monographs in Algebraic Geometry in the last decades, have introduced many of today's algebraic geometers to active research topics, and have been a major force in developing the field as a whole. We therefore expect the conference to be well-attended by young researchers wishing to learn about, and then share with members of their groups, current questions in a wide spectrum of topics. The talks will contain a substantial expository and didactic component for this younger audience, for whom it is sometimes difficult to keep up to date with the rapid developments that the field is seeing.

2013年5月16日至19日在密歇根大学安阿伯（Ann Arbor）举行的“代数几何进展”会议将举行。 会议背后的动机是在过去的十年中，我们对高维代数品种以及霍奇理论，枚举几何形状或syzygies等领域的几何形状的理解，取得了非凡的进步。 它将汇集代数几何学的领先专家，以告知听众过去几年的主要发展，提出新的研究方向，并在不同的子领域之间建立联系。 以下主题将在会议上代表：最小模型计划及其应用，消失的定理和乘数理想，派生类别和应用，霍奇理论和复杂的几何形状，模量空间以及枚举的几何形状，交换性和计算代数。 有关会议的更多详细信息以及确认的演讲者名单，可在会议网站上，网址为http://homepages.math.uic.edu/~mpopa/compopa/robfest/ the会议将重点介绍代数几何的一些近期近期发展。 演讲者是根据他们对该领域的研究贡献而选择的，也是因为他们的说明性技能和对年轻一代研究人员和数学教师的发展的奉献精神。 在过去的几十年中，有些人在代数几何形状中生产了许多最重要的教科书和高级专着，因此将当今的许多代数几何学引入了积极的研究主题，并且一直是整个领域发展该领域的主要力量。 因此，我们希望这次会议能够受到希望了解的年轻研究人员的良好评价，然后与他们的团体成员分享各种各样的问题。这些会谈将为年轻受众群体包含一个实质性的说明性和教学成分，为此，有时很难与该领域所看到的快速发展保持最新状态。