Mathematical Sciences: Automorphic L-functions and Representation Theory

弗里德伯格教授将研究几个与自同构形式有关的问题。特别是，他将研究Rankin-Selberg方法在经典群的元复盖上的扩展。此外，他还打算继续研究相对示踪公式。自同构形式产生于19世纪中期的非欧几里得几何。因此，数学家和物理学家很早就认识到，许多具有根本重要性的物体在其基本性质上是非欧几里得的。这个领域主要关注关于整数的问题，但在使用几何和分析时，它保留了与历史根源的联系，因此与理论物理中的规范理论和信息论中的编码理论等领域的问题联系在一起。

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.