The Class Field Tower Problem

27 January 2020
16:00
Wojtek Wawrów
Abstract

Given a number field K, it is natural to ask whether it has a finite extension with ideal class number one. This question can be translated into a fundamental question in class field theory, namely the class field tower problem. In this talk, we are going to discuss this problem as well as its solution due to Golod and Shafarevich using methods of group cohomology.
 

  • Junior Number Theory Seminar