Title of the course: Introduction to Iwasawa Theory
Instructor’s Name: Dr. José Ibrahim Villanueva Gutiérrez
Institution: Hebrew University
Dates: 23-28 August 2021
Prerequisites: Finite fields, Number theory
Level: Graduate, Advanced undergraduate
Abstract: We will study the famous theorem of Iwasawa about the growing of the $p$-part of the class group in an infinite tower of number fields. Also we review the construction of $p$-adic $L$-functions. Finally, we study the meaning of the Iwasawa Main Conjecture, if time allows we shall also explain further generalizations.
Language: English
Textbook: Course based in the book (in spanish) http://www.math.huji.ac.il/~jgutierrez/Teoria_de_Iwasawa.pdf