论文标题
关于$ p $ - 亚法代表的通用规范，高级伊瓦川理论
On Universal Norms for $p$-adic Representations in Higher Rank Iwasawa Theory
论文作者
论文摘要
我们开始对$ p $ - 亚法代表的普遍规范进行系统的调查。在建立了高级通用规范模块的基本属性后，我们构建了与此设置相关的iWasawa理论配对。例如，这使我们能够完善经典的iwasawa主要猜想，以构成环形球场，并将有关算术的各种众所周知的猜想申请，内容涉及含硫泽的不变性和$ l $ functions的领先条款。
We begin a systematic investigation of universal norms for $p$-adic representations in higher rank Iwasawa theory. After establishing the basic properties of the module of higher rank universal norms we construct an Iwasawa-theoretic pairing that is relevant to this setting. This allows us, for example, to refine the classical Iwasawa Main Conjecture for cyclotomic fields, and also to give applications to various well-known conjectures in arithmetic concerning Iwasawa invariants and leading terms of $L$-functions.
