Math 201A: Basic Topics in Algebra (Fall 2010)

This is the web site for Math 201A (Basic Topics in Algebra) for the fall 2010 quarter. The specific topic for this course is "Arithmetic of Local Fields". The plan is to give a rigorous introduction to the theory of local fields (such as the p-adic numbers), including ramification theory, some local class field theory, and perhaps a bit of p-adic Hodge theory. We'll follow Serre's book (see below) to the extent that the material I have in mind appears therein.

Some basic facts: