Geometric applications of class field theory

  • Date: 01/22/2013
Reinier Bröker, Brown University

University of Washington


One of the major developments in number theory during the 20th century is the invention of class field theory. In this talk we will recall some highlights of this theory, and explain how to apply it to solve geometric problems. In particular, we will show how to efficiently compute isogenies between elliptic curves and how to construct elliptic curves of prescribed order. Many examples will be given.


2:30 pm at LOW 101