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日在蒙特利尔的数学研究中心召集来自美国的顶尖研究人员、研究生和年轻数学家，在代数几何和复杂分析领域进行为期五天的研讨会。研讨会将集中讨论复杂代数品种的结构和分类的一个关键方面：Lang等人关于复杂品种中代数曲线和全纯曲线的存在性和性质的猜想。解析和代数技术最近都在这些猜想中发挥了作用，这些猜想在代数方面与Mori的程序有关，并且在解析方面改进了Nevanlinna的第二主要定理。研讨会将汇集代数几何和复杂分析方面的专家，以促进进一步的互动和合作。复数代数变量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。对这些种类的结构和分类的理解是代数几何和复杂分析的中心主题。研讨会将向研究生、博士后研究人员、初级教师以及高级数学家介绍这一领域的最新发展。大约50名数学家，在他们的研究生涯的各个阶段，预计将参加；邀请的演讲者中有8位是博士后研究人员或初级教员。除了预定的讲座外，我们将在下午提供充足的时间进行公开讨论，以鼓励研究生和博士后研究人员积极参与。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。