From Classical to Non-commutative Iwasawa Theory: An Introduction to the <var>GL</var><sub>2</sub> Main Conjecture

  • Otmar Venjakob

    Universität Heidelberg, Germany
From Classical to Non-commutative Iwasawa Theory: An Introduction to the <var>GL</var><sub>2</sub> Main Conjecture cover
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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 contains neither proofs nor any new results, but hopefully serves as introduction to the original articles [8], [41]. Also, technical details are sometimes placed into footnotes in order to keep the main text as easily accessible as possible.