- Suo-Jun Tan, MSU
- Local Class Field Theory is Easy! Part I: Introduction
- 03/18/2019
- 3:00 PM - 4:00 PM
- C517 Wells Hall
Local class field theory is about classifying all abelian extensions over a base local
field (for instances Q_p , R, C). It turns out that this extrinsic data is completely determined by
the intrinsic properties of the base field. We will start by reviewing some basic number theory
facts. We will then discuss statements in local class field theory and see some interesting
examples. We assume a basic knowledge of commutative algebra, infinite Galois theory and
number theory.