Workshop on Geometry of Holomorphic and Algebraic Curves in Complex Algebraic Varieties

复代数簇中的全纯和代数曲线几何研讨会

• 批准号: 0717981
• 负责人: Bernard Shiffman
• 金额: $ 2.4万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-04-15 至 2008-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0717981&HistoricalAwards=false
• 关键词: Workshop; Geometry; Holomorphic; Algebraic; Curves

We will bring together top researchers, as well as graduate students and young mathematicians from the U.S., in both algebraic geometry and complex analysis for a five-day Workshop from April 30 to May 4, 2007, at the Centre de Recherches Mathematiques in Montreal. The workshop will focus on a key aspect of the structure and classification of complex algebraic varieties: the conjectures of Lang and others on the existence and properties of algebraic and holomorphic curves in complex varieties. Both analytic and algebraic techniques have recently played a role in making inroads into these conjectures, which are related to Mori's program on the algebraic side and which refine Nevanlinna's Second Main Theorem on the analytic side. The workshop will bring the experts in algebraic geometry and complex analysis together to foster further interaction and collaboration. Complex algebraic varieties, which are the solution sets of polynomial equations, provide models for describing physical problems in science and engineering. The understanding of the structure and classification of these varieties is a central theme in both algebraic geometry and complex analysis. The workshop will introduce recent developments in this area to graduate students, postdoctoral researchers and junior faculty members, as well as to senior mathematicians. Approximately 50 mathematicians, at all stages in their research careers, are expected to participate; eight of the invited speakers are postdoctoral researchers or junior faculty members. In addition to the scheduled talks, we shall provide ample time for open discussions during the afternoons in order to encourage active participation by graduate students and postdoctoral researchers. Most of the funding will go towards paying travel expenses of graduate students, young mathematicians and members of under-represented groups.

我们将于 2007 年 4 月 30 日至 5 月 4 日在蒙特利尔数学研究中心举办为期五天的研讨会，汇集来自美国代数几何和复分析方面的顶尖研究人员以及研究生和年轻数学家。研讨会将重点讨论复代数簇的结构和分类的一个关键方面：Lang等人关于复簇中代数曲线和全纯曲线的存在性和性质的猜想。 分析和代数技术最近在这些猜想的进展中发挥了作用，这些猜想与代数方面的 Mori 纲领有关，并在分析方面完善了内万林纳第二大定理。 该研讨会将把代数几何和复分析领域的专家聚集在一起，以促进进一步的互动和合作。复代数簇是多项式方程的解集，为描述科学和工程中的物理问题提供了模型。 对这些变体的结构和分类的理解是代数几何和复分析的中心主题。 该研讨会将向研究生、博士后研究人员和初级教员以及高级数学家介绍该领域的最新进展。 预计将有大约 50 名处于研究生涯各个阶段的数学家参加；其中八位受邀演讲者是博士后研究人员或初级教员。 除预定的讲座外，我们将在下午提供充足的公开讨论时间，以鼓励研究生和博士后研究人员的积极参与。 大部分资金将用于支付研究生、年轻数学家和代表性不足群体成员的旅费。