III Local Fields
8 Lubin–Tate theory
For the rest of the course, we will indicate how one can explicitly construct the
and the map Art
There are many ways we can approach local class field theory. The approach
we use, using Lubin–Tate theory, is the most accessible one. Another possible
approach is via Galois cohomology. This, however, relies on more advanced
machinery, namely Galois cohomology.