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.

该赠款将支持 2007 年 3 月底在佐治亚大学举行的“曲线和阿贝尔簇”会议。会议的目的是讨论该领域的最新进展，包括与表征雅可比的肖特基问题有关的进展。所有主要极化的阿贝尔变体；以及描述阿贝尔簇的其他经典类别，例如 Prym 簇和中间雅可比簇。还将讨论与阿贝尔簇模空间和 K3 曲面的函子紧化的联系。演讲者包括许多国际知名专家，如Arnaud Beauville（法国尼斯）、Herbert Clemens（俄亥俄州立大学）、Robert Friedman（哥伦比亚，纽约）、Phillip A. Griffiths（IAS，普林斯顿）、Herbert Lange（德国埃尔兰根） ）、Alessandro Verra（罗马 3）、Igor Krichever（哥伦比亚，纽约）和 Claire Voisin（巴黎） 7).代数几何研究多项式方程组的解，这是许多数学领域及其在自然科学和工程中的应用的基础。曲线和阿贝尔簇是两类基本解，自黎曼时代以来，它们丰富的相互作用一直让数学家着迷。会议将汇集国际领先的研究人员、初级数学家和研究生，回顾该领域的最新进展并鼓励新的发展。