Conference on Curves and Abelian Varieties

这笔赠款将支持2007年3月底在佐治亚大学举行的关于“曲线和阿贝尔变种”的会议。会议的目的是讨论该领域的最新发展，包括与肖特基问题有关的问题，即在所有主要极化的阿贝尔变种中表征雅克比变种；以及关于表征普里姆变种和中间阿贝尔变种等其他经典阿贝尔变种的问题。文中还讨论了交换簇的模空间与K3曲面的函数紧化之间的关系。讲者将包括许多国际知名的专家，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Erlangen)，Alessandro Verra(罗马3)，Igor Krichever(哥伦比亚，纽约)和Claire Voisin(巴黎7)。多项式方程组的代数几何研究，这是许多数学领域及其在自然科学和工程学中的应用的基础。曲线和阿贝尔变种是两类基本的解，自黎曼时代以来，它们的丰富交互作用一直吸引着数学家。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。

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.