Mathematical Sciences: Representation Theory of Reductive p-adic Groups

Moy教授将在《自然》中研究幺正性问题。 某些群的表示论。 他的工作将 专注于单幂表示，约简问题相关 到酉性，以及某些Hecke代数的关系 从同构到酉。 群论基本上是研究对称性的。 采取 一个简单的例子，当所讨论的系统在一个 空间原点位置的变化， 翻译自然会出现。 虽然群体是抽象的， 对象，特殊情况需要具体实现或 对称群的"表示"。 莫教授的 调查涉及某些特殊陈述， 享受一个叫做幺正性的距离保持属性。

Professor Moy will investigate the unitarity question in the representation theory of certain kinds of groups. His work will focus on unipotent representations, reducibility problems related to unitarity, and the relationship of certain Hecke algebra isomorphisms to unitarity. Group theory is basically the study of symmetry. To take a simple example, when the system in question is invariant under a change in the position of the origin of space, the group of translations naturally arises. While groups are abstract objects, particular situations demand concrete realizations or "representations" of the symmetry group. Professor Moy's investigations involve certain special representations which enjoy a distance preserving property called unitarity.