This is the second part of a two-part series.

This second talk will begin with an examination of the Main Theorem of Wiesend class field theory, and how to reduce it to a Key Lemma about prime-index subgroups of the class group. I shall briefly revisit the case where the prime is prime to the characteristic of the field to provide another proof of a result already obtained by Kerz-Schmidt and then sketch the proof of the Key Lemma in the wildly ramified case , which forms the heart of my doctoral thesis.