| 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. |