Conference on Curves and Abelian Varieties

这笔赠款将支持2007年3月底在格鲁吉亚大学举行的“曲线和阿贝尔变种“会议。会议的目的是讨论该领域的最新发展，包括那些有关的肖特基问题的特点雅可比之间的所有主要极化阿贝尔品种;以及对其他经典类的特点阿贝尔品种，如Prym品种和中间雅可比。本文还讨论了交换簇的模空间和K_3曲面与函子紧化的关系。演讲嘉宾将包括多位国际知名专家，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（哥伦比亚，纽约）、菲利普A。格里菲思（IAS，普林斯顿），赫伯特兰格（埃尔兰根，德国），亚历山德罗韦拉（罗马3），伊戈尔克里切弗（哥伦比亚，纽约）和克莱尔沃辛（巴黎7）。代数几何研究多项式方程组的解，这是数学的许多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的解，它们之间丰富的相互作用从黎曼时代起就吸引着数学家们。会议将汇集国际领先的研究人员、初级数学家和研究生，回顾这一领域的最新进展，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.