Mathematical Sciences: Chow Groups of Smooth Projective Varieties

Schoen教授将研究周星驰与 Hodge Theory和Hodge Theory 他将研究挠子群 以及布洛赫-贝林森的著作 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题， 数学：数论和几何。 这种组合 已经证明是非常有成效的--最近解决了 几代人都面临的问题。 在众多 结果是新的纠错码。这些代码是 对于现代计算机（硬盘）和紧凑型 磁盘。

Professor Schoen will work on the relation between Chow groups and Hodge theory. He will study the torsion subgroup as well as the Bloch-Beilinson conjectures. This project falls into the general area of arithmetic geometry - a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.