Cyclotomic fields and zeta values

Includes bibliographical references

1. Cyclotomic Fields
2. Local Units
3. Iwasawa Algebras and p-adic Measures
4. Cyclotomic Units and Iwasawa's Theorem
5. Euler Systems
6. Main Conjecture

Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures'' in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields.