Conference on Curves and Abelian Varieties

这笔拨款将用于支持2007年3月底在乔治亚大学召开的“曲线和阿贝尔品种”会议。会议的目的是讨论该领域的最新发展，包括有关在所有主极化阿贝尔变体中表征雅可比矩阵的肖特基问题；以及刻画其他经典的阿贝尔变换类，如Prym变换和中间雅可比矩阵。本文还讨论了阿贝尔变体和k3曲面的模空间的函子紧化的联系。演讲者将包括许多国际知名专家，如Arnaud Beauville（法国尼斯），Herbert Clemens（俄亥俄州），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。自黎曼时代以来，曲线和阿贝尔变分是两类基本的解，它们丰富的相互作用吸引了数学家。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.