Cyclotomic Units and the Iwasawa Main Conjecture
نویسنده
چکیده
In these notes, we follow the proof in [1] of the main conjecture of Iwasawa theory making heavy use of the Euler system of cyclotomic units. On the one hand, using the local theory of Coleman series and ideas of Iwasawa one obtains a connection with the p-adic zeta function. On the other hand by CFT and Rubin’s refinement of the ideas of Kolyvagin (and the analytic class number formula) one obtains a connection with the tower of ideal class groups. The author is not an expert on this subject and these notes were written quickly, so beware errors.
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