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.