Relative Trace Formula and Its Applications

9971003这项工作涉及朗兰兹计划中的问题。PI和S.Rallis将研究相对迹公式和theta提升在函数式提升理论中的组合使用。与M.Baruch合作的PI将研究相对迹公式的局部理论及其在自同构L函数中心值中的应用。数论起源于对自然数的研究。它是最古老的数学分支之一。在过去的半个世纪里，它已经成为数据传输和处理以及通信系统等领域的各种应用中不可或缺的工具。

9971003This work concerns problems in the Langlands program. The PI and S. Rallis will study the combined use of relative trace formulas and theta liftings in the theory of functorial liftings. The PI with M. Baruch will study the local theory of relative trace formulas and its application to central values of automorphic L-functions.This research is in the area of number theory. Number theory has its historical roots in the study of natural numbers. It is among the oldest branches of mathematics. Within the last half century it has become an indispensible tool in diverse applications in areas such as data transmission and processing, and communication systems.