Mathematical Sciences: Arithmetic Geometry

柴教授谈算术几何中的几个问题。 这些包括典型的积分模型志村品种和 p-adic对称空间理论及其类比 关于Hodge结构退化的施密特定理。 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。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中， 纠错码 这些准则对现代和 计算机（硬盘）和光盘。

Professor Chai on several problems in arithmetic geometry. These include canonical integral models of Shimura varieties and the theory of p-adic symmetric spaces with a view to an analogue of Schmidt's theorem on degenerations of Hodge structures. 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.