Mathematical Sciences: Unipotent Representations of p-Adic Groups

9622343里德该奖项支持M·里德教授致力于自同构函数的研究。他打算研究约化p-进代数群的幂等表示。他还打算从事p进位调和分析。这里的想法是要了解与Plachory度量有关的各种计算如何与旗帜流形的不动点变化的几何有关。自同构函数理论起源于19世纪中叶的非欧几里德几何。因此，数学家和物理学家都早已认识到，许多具有根本重要性的物体本质上都是非欧几里得的。这个领域主要涉及关于整数的问题，但在使用几何和分析时，它保留了与其历史根源的联系，从而与理论物理中的规范理论和信息论中的编码理论等不同领域的问题有关。?？

9622343 Reeder This award supports the research of Professor M. Reeder to work in automorphic functions. He intends to work on unipotent representations of reductive p-adic algebraic groups. He also intends to work on p-adic harmonic analysis. The idea here is to see how various computation relating to Plancheral measures relate to the geometry of the fixed point varieties of flag manifolds. Automorphic function theory arose out of Non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory. ??