An Exposition on Lubin-Tate Theory

Erika Frugoni, CU Boulder
One of the goals of local class field theory is to describe the maximal abelian extension of a local field ("the existence theorem"). In this talk, I will follow the method of Lubin and Tate in constructing this maximal abelian extension using formal groups. Using this construction, I will then define the so-called norm residue map and prove the local Kronecker-Weber Theorem.