Math 5020 - Fall 2011
Topics in Algebra: Local Fields

Instructor Keith Conrad
Email kconrad at math dot uconn dot edu. (When you send an email message, please identify yourself at the end.)
Office hours MSB  318, by appointment.
Course info
Lecture MW 3:00—4:15, MSB 311.
 
Text Online lecture notes to be posted below. Published books that you may also find useful, particularly if you don't have any real familiarity with p-adics before, are by Gouvea, Koblitz, and Robert. The books by Gouvea and Koblitz have partial solutions to exercises in the back. Those with a good background in commutative algebra should consider the book by Serre.


Course handouts

Notes by Breuning, Evertse, and Thorne.

Hensel's Lemma.

p-adic interpolation.


Paper topics.


Recent Announcements


9/5: An example of some recent board work.


8/29: Semester starts.


Brief course description: This course is an introduction to local fields, such as the p-adic numbers and their finite extensions. These fields play a prominent role in many parts of number theory and representation theory.

Prerequisites: Math 5211. Concepts from Math 5110 will also figure prominently.

Projects: There will be a 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!