论文标题
Torres Infinitas Sorprendentes。 una介绍了伊瓦泽的lateoríade iwasawa
Torres infinitas sorprendentes. Una introducción a la Teoría de Iwasawa
论文作者
论文摘要
本文是西班牙语中大多数人具有独立教科书的教科书概论。这是作者在2018年在墨西哥数学学会（SMM）年度会议上给出的课程的注释。它涵盖了代数数量理论和Profinite代数的一些初步，iWasawa代数理论，iWasawa代数理论及其模块及其模态，涉及$ \ mathbbbbbb {$ pexend of $ \ mathbb {$ pexens in $ \ mathbb {z}} _ p。 $ l $ for dirichlet字符及其各种结构（以及一些复杂的$ l $ functions理论），不同配方的环形主要猜想及其最重要的含义，以及概述对数iwasawa理论的概括以及对概括的概括的概述，并概括了对eLlipt to to Ellipt suptiation to Elliptic curves和Ellipt curves and ethnc。该文本包括参考文献和详细证明，其中一些在标准文献中不可用，对于具有代数的基本知识和一些代数数理论的人来说，可以访问。
This text is a mostly self-contained textbook-like introduction to classical and modern Iwasawa Theory in Spanish language. It grew out of notes for a course that the authors gave at the annual conference of the Mexican Mathematical Society (SMM) in 2018. It covers some preliminaries from algebraic number theory and profinite algebra, the theory of the Iwasawa algebra and its modules, results about class groups in $\mathbb{Z}_p$-extensions, $p$-adic $L$-functions for Dirichlet characters and their various constructions (along with some complex theory of $L$-functions), the cyclotomic main conjecture in different formulations together with its most important implications, and a chapter about generalizations outlining logarithmic Iwasawa theory and generalizations of the Main conjecture to elliptic curves, motives and the ETNC. The text includes references and detailed proofs, some of which are not available in the standard literature, and is accessible for anyone with basic knowledge of algebra and some algebraic number theory.
