Lecture notes files.

LEC #	LECTURE NOTES
1	Absolute Values and Discrete Valuations (PDF)
2	Localization and Dedekind Domains (PDF)
3	Properties of Dedekind Domains (PDF)
4	Étale Algebras, Norm and Trace (PDF)
5	Dedekind Extensions (PDF)
6	Ideal Norms and the Dedekind-Kummer Theorem (PDF)
7	Galois Extensions, Frobenius, the Artin Map (PDF)
8	Complete Fields and Valuation Rings (PDF)
9	Local Fields and Hensel's Lemmas (PDF)
10	Extensions of Complete DVRs (PDF)
11	Totally Ramified Extensions and Krasner's Lemma (PDF)
12	The Different and the Discriminant (PDF)
13	Haar Measures and the Product Formula (PDF)
14	The Minkowski Bound and Finiteness Results (PDF)
15	Dirichlet's Unit Theorem (PDF)
16	Riemann's Zeta Function and the Prime Number Theorem (PDF)
17	The Functional Equation (PDF)
18	Dirichlet L-functions, Primes in Arithmetic Progressions (PDF)
19	The Analytic Class Number Formula (PDF)
20	The Kronecker-Weber Theorem (PDF)
21	Class Field Theory: Ray Class Groups and Ray Class Fields (PDF)
22	The Main Theorems of Global Class Field Theory (PDF)
23	The Ring of Adeles, Strong Approximation (PDF)
24	The Idele Group, Profinite Groups, Infinite Galois Theory (PDF)
25	Local Class Field Theory (PDF)
26	Global Class Field Theory, the Chebotarev Density Theorem (PDF)