By John Coates,Minhyong Kim,Florian Pop,Mohamed Saïdi,Peter Schneider

quantity thought at the moment has a minimum of 3 assorted views on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa concept and anabelian geometry. within the moment 1/2 2009, specialists from each one of those 3 parts accumulated on the Isaac Newton Institute in Cambridge to provide an explanation for the most recent advances of their study and to enquire attainable avenues of destiny research and collaboration. For these in attendance, the overpowering impact was once that quantity conception goes via a tumultuous interval of theory-building and experimentation analogous to the past due nineteenth century, whilst many various designated reciprocity legislation of abelian type box thought have been formulated sooner than wisdom of the Artin–Takagi concept. Non-abelian basic teams and Iwasawa conception offers the cutting-edge in theorems, conjectures and speculations that time the best way in the direction of a brand new synthesis, an as-yet-undiscovered unified conception of non-abelian mathematics geometry.

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Non-abelian Fundamental Groups and Iwasawa Theory (London Mathematical Society Lecture Note Series) by John Coates,Minhyong Kim,Florian Pop,Mohamed Saïdi,Peter Schneider


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