Mathematical Sciences: Automorphic L-functions and Representation Theory

弗里德伯格教授将研究几个问题， 自守形式。 特别是，他将研究扩展 的Rankin-Selberg方法的亚复盖， 古典团体 此外，他打算继续他的工作 相对轨迹公式 自守形式产生于非欧几里德几何， 世纪中期。 数学家和 物理学家早就意识到， 基本的重要性是非欧几里德在其基本性质。 此字段主要涉及有关 整数，但在其使用的几何和分析，它 保留了与其历史根源的联系，从而与问题 从理论物理中的规范理论， 信息论中的编码理论

Professor Friedberg will work on several problems connected with automorphic forms. In particular, he will study extensions of the Rankin-Selberg method to metaplectic covers of the classical groups. In addition, he intends to continue his work on the relative trace formula. Automorphic forms 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.