Cornell Math - MATH 737, Fall 2004

MATH 737: Algebraic Number Theory (Fall 2004)

Instructor: Shankar Sen

Meeting Time & Room

This is to some extent a continuation of an earlier course, but an attempt will be made to make it understandable to those who have had a first course in Algebraic Number Theory and some knowledge of Galois theory.

Topics to be covered:

1. An overview of global class field theory. (Detailed proofs of some standard facts covered in an earlier course will not be
   given.)

2. Local methods (involving p-adic numbers): explicit reciprocity laws, new aspects of Kummer theory... The precise choice of topics is not fixed in advance.