**Local Fields, Michaelmas 2016**

This is the course website for the Michaelmas Part III course on Local Fields.

Example Sheets and other relevant material will appear here in due course.

Here is a correction to the definition of the Artin map from lectures, and some (non-examinable) comments on the two common conventions for the definition of the Artin map.

Example Sheet 1 , Rough solutions

Example Sheet 2 , Rough solutions (correction: the definition of a nowhere dense set in the solution for Q12 is only for closed sets).

Example Sheet 3 , Rough solutions (correction: in the isomorphism for E_n on p. 39, exponent on the RHS should be n-1).

Example Sheet 4 , Rough solutions . Here is a proof of the field/Galois theory fact used in Q3.