In this post we discuss local class field theory (specifically looking at
-adic fields) with a focus on the broader picture, and the multiple approaches.
Class field theory, Number Theory and tagged class field theory, Intuition, local class field theory, lubin-tate formal group law, lubin-tate theory, motivation, number theory, proof, proof overview, relation to Langlands on .
September 1, 2015
Leave a comment
In this post we compute the group
where is a number field.
A Computation a Day, Algebraic Geometry, Class field theory, Etale Cohomology, Number Theory and tagged Brauer group, brauer group example, brauer group of a number ring, Brauer group of scheme, class field theory, etale cohomology, number theory on .
July 20, 2015 1 Comment
In this post we discuss one example of what’s called a ‘class field theoretic phenomenon’. In particular, we focus on the application of trying to understand the property of when
has three distinct roots modulo , for various primes .