Tags: #todo #NT/algebraic Refs: ?
Defiinitions
 absolute Galois group
 Eisenstein polynomial
 different and discriminants
 field norm and trace
 cyclotomic character
 maximal unramified extension
 maximal abelian extension
 Haar measure
 What is the degree of a number field?
 What is a rational prime?
 What is the Artin symbol?
 What is the Normresidue symbol?
 What are the Ideles?
 What are the Adeles?

What is the trace pairing?
 different and discriminants; basic properties of local fields.
 What is an Arakelov?
 What is the regulator of a number field?
 What is a Pell equation?
 What is a ray class field?
 What are coinvariants and invariants?
 What is the norm group?
Notation