Class Field Theory

Instructor:Guanghua Ji

Textbook:Nancy Childress, Class Field Theory, Springer, 2009.

Classroom and Time: 102, Old Math Building; 2-4, THU.

References:

(1) L.J. Goldstein, Analytic Number Theory, Prentice-Hall, New Jersey, 1971.

(2) G.J. Janusz, Algebraic Number Fields, Second Edition, GSM 7, AMS, 1996.

(3) S. Lang, Algebraic Number Theory, Springer-Verlag, GTM 110.

(4) H.P.F. Swinnerton-Dyer, A Brief Guide to Algebraic Number Theory, Cambrige University Press, 2001.

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Syllabus:

1, A Brief Review

2, Ray Class Groups

3, The Idelic theory

4, Artin Reciprocity

5, The Existence Theorem

6, Local Class Field Theory

Online resources