Conference on Curves and Abelian Varieties

曲线和阿贝尔簇会议

• 批准号: 0646265
• 负责人: Valery Alexeev
• 金额: $ 2.57万
• 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: 2006
• 资助国家: 美国
• 起止时间: 2006-12-15 至 2007-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0646265&HistoricalAwards=false
• 关键词: Conference; Curves; Abelian; Varieties

The grant will support a conference on "Curves and Abelian Varieties"at the University of Georgia at the end of March 2007. The aim of the conference is to discuss recent developments in the field, including those relating to the Schottky problem of characterizing jacobians among all principally polarized abelian varieties; as well as on characterizing other classical classes of abelian varieties such as Prym varieties and intermediate jacobians. The connections with functorial compactifications of moduli spaces of abelian varieties andK3 surfaces will be adressed as well. The speakers will include many internationally renowned experts, such as Arnaud Beauville (Nice,France), Herbert Clemens (Ohio State), Robert Friedman (Columbia, NYC), Phillip A. Griffiths (IAS, Princeton), Herbert Lange (Erlangen, Germany), Alessandro Verra (Rome 3), Igor Krichever (Columbia, NYC) and Claire Voisin (Paris 7).Algebraic geometry studies solutions of systems of polynomial equations, which are basic to many fields of mathematics and its applications to natural sciences and engeneering. Curves and abelian varieties are two fundamental classes of solutions whose rich interactions has fascinated mathematicians since the time of Riemann.The conference will bring together leading international researchers, junior mathematicians and graduate students to review the recent progress in the field and to encourage new developments.

该赠款将在2007年3月底在佐治亚大学举行的“曲线和阿伯利亚品种”会议。该会议的目的是讨论该领域的最新发展，包括与肖特基（Schottky）有关雅各比人在主要两极分化的阿比亚人品种中描述雅各布人的问题的发展；以及描述其他古典类别的阿伯利亚品种，例如Prym品种和中间的Jacobians。与Abelian品种和K3表面的模量空间的功能压缩的连接也将受到尊重。演讲者将包括许多国际知名的专家，例如Arnaud Beauville（法国尼斯），赫伯特·克莱门斯（俄亥俄州），罗伯特·弗里德曼（Robert Friedman）（纽约市哥伦比亚），菲利普·A·格里菲斯（Phillip A. Griffiths）（菲利普·格里菲斯（Phillip A. Voisin（巴黎7）。多项式方程系统的代数几何研究解决方案，这些解决方案是许多数学领域及其在自然科学和工程中的应用。曲线和亚伯利亚品种是两种基本的解决方案类别，这些解决方案以来，丰富的互动使数学家着迷。这次会议将召集领先的国际研究人员，初级数学家和研究生，以审查该领域的最新进展并鼓励新的发展。