From classical to non-commutative Iwasawa theory - an introduction to the GL_2 main conjecture

Abstract: This paper, which is an extended version of my talk ‘The GL2 main conjecture for
elliptic curves without complex multiplication’ given on the 4ECM, aims to give a survey
on recent developments in non-commutative Iwasawa theory. It is written mainly
for non-experts and does not contain neither proofs nor any new results, but hopefully
serves as introduction to the original articles [4, 33]. Also, technical details are
sometimes placed into footnotes in order to keep the main text as easily accessible as
possible. |