MATH 737: Algebraic Number Theory (Fall 2007)

Instructor: Ravi Ramakrishna

Meeting Time & Room

This course will be a fairly standard introduction to Class Field Theory, the classification of abelian extensions of local and global fields. We will take the idelic approach. Depending on time constraints and the background of the class, we may cover Lubin-Tate theory, the statements of explicit reciprocity laws, and the cohomological approach of Artin-Tate. There will be some regular homework problems. Students will be expected to present solutions in class. The homework will not involve a large time commitment. It is intended to help students keep up with the lecture material.

The prerequisite is a standard course in algebraic number theory, say at the level of the texts of Samuels or Marcus.

Last modified:March 29, 2007