Math 321 - Spring 2007
Topics in Algebra: Tate's Thesis

Links:    Recent Announcements     Homework    
Instructor Keith Conrad
Email kconrad AT math DOT uconn DOT edu.
Office hours MSB  318; TBA
Course info
Lecture MWF 3:30--4:20, MSB 415.
 
Text Number Theory: Algebraic Numbers and Functions, by H. Koch.

Course handouts

Some paper topics.

More p-adic integrals

Some p-adic integrals

Proving local compactness of the dual group with Ascoli's theorem.

Integration review

The characters of Q

Characters of finite abelian groups

Ostrowski's theorem for Q(i), Q(√2), F(T), and number fields.

References for Tate's thesis and for harmonic analysis

Recent Announcements

3/17: Handouts on p-adic integrals are revised and reposted.

1/24: The class time and meeting room have changed.

1/17: Class begins.

11/25: Web page created.

Brief course description: This course is an introduction to harmonic analysis on local fields and its application to the analytic continuation of L-functions, following Tate's thesis.

Prerequisites: algebraic number theory, topology, measure theory

Projects: There will be a written project due near the end of the semester. A list of topics will be posted a few weeks into the course.


Credit: I respectfully stole the code for much of this page from Glenn Tesler. Thanks, Glenn!