Time: the fourth semester.
Credit: 3 hours.
Period: 54 hours.
Previous courses: Abstract Algebra, Algebraic number theory

Course contents:

(1) Norm Index Computation;
(2) Local Class Field Theory;
(3) Global Class Field Theory;
(4) The Kronecker-Weber Theorem;
(5) Artin L-Functioins;
(6) Weil Groups and Artin-Hecke L-Functions;
(7) Nonabelian Class Field Theory.

References:

(1) J. W. S. Cassels and A. Frohlich, eds., Algebraic Number Theory, Thompson
     Publishing Co., Washington, D. C., 1967.
(2) L. J. Goldstein, Analytic Number Theory, Prentice-Hall, Inc. Englewood Cliffs,      New Jersey.
(3) S. Lang, Algebraic Number Theory, Springer-Verlag, GTM110.
(4) J. S. Milne, Class Field Theory, available at http://www.jmilne.org/math/
(5) J. Tate, Number Theoretic Background, Automorphic forms, representations      and L-functions, PSPM, Vol. 33, AMS,1979, Part 2, 3-26.
(6) C. J. Moreno, Advanced Analytic Number Theory: L-Functions, Mathematics       Surveys and Monographs, Vol. 115, Amer. Math. Soc., Providence, 2005.