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

我们将汇集顶尖的研究人员，以及来自美国的研究生和年轻的数学家，2007年4月30日至5月4日，在蒙特利尔数学研究中心举行了为期五天的讲习班。该研讨会将集中在复代数簇的结构和分类的一个关键方面：朗和其他人关于复代数簇中代数和全纯曲线的存在性和性质的论文。 最近，分析和代数技术都在这些猜想的进展中发挥了作用，这些猜想在代数方面与Mori的计划有关，并在分析方面完善了Nevanlinna的第二主要定理。 该讲习班将使代数几何和复分析方面的专家聚集一堂，促进进一步的互动与合作。复代数簇是多项式方程的解集，它为描述科学和工程中的物理问题提供了模型。 理解这些变体的结构和分类是代数几何和复分析的中心主题。 讲习班将向研究生、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;八个受邀演讲者是博士后研究人员或初级教师。 除了预定的会谈外，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。

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.