Mathematical Sciences: Representations of p-adic Groups

里德教授将继续研究 p-adic代数群的表示他将寻求明确的 结果的表示包含岩堀固定 vector.这项工作利用p-adic谐波之间的相互作用 分析和复杂代数几何。 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 Reeder will continue his work on the representations of p-adic algebraic groups. He will seek explicit results about the representations containing an Iwahori-fixed vector. This work exploits the interplay between p-adic harmonic analysis and complex algebraic geometry. 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.