Mathematics 274: Number Theory (Spring 2003)
Instructor
Leslie Saper
Description
This course will be a modern introduction to number
theory from both an algebraic and analytic perspective. The precise topics
to be covered have not been settled yet (and will be influenced by student
interest), though I would like to lead to a discussion of Hecke's theory
of L-functions. A(n overly ambitious) list of possible topics
include local and
global fields, completions, ramification, adeles and ideles, class groups,
a survey of class field theory, the analytic continuation and functional
equation of Hecke L-functions, and applications.
The course should be of interest to graduate students working in
algebra, algebraic geometry or another area of mathematics which interacts
with number theory.
Prerequisites
Galois theory, basic topology, commutative algebra.
Text(s)
Possible texts include
- Fourier Analysis on Number Fields, Dinakar Ramakrishnan & Robert
Valenza
- Algebraic Number Theory, Juergen Neukirch
Other references will be given.
For more information see the instructor.
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Duke University
Last modified: 25 October 2002