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Noncommutative Iwasawa Main Conjectures over Totally Real Fields (eBook, PDF)

Münster, April 2011

Redaktion: Coates, John; Venjakob, Otmar; Sujatha, R.; Schneider, Peter
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The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field, independently by Ritter and Weiss on the one hand, and Kakde on the other. The initial ideas for giving a precise formulation of the non-com...

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