By Athanasios Bouganis,Otmar Venjakob
This is the 5th convention in a bi-annual sequence, following meetings in Besancon, Limoges, Irsee and Toronto. The assembly goals to compile diverse strands of analysis in and heavily relating to the world of Iwasawa thought. in the course of the week sooner than the convention in one of those summer season university a chain of preparatory lectures for younger mathematicians was once supplied as an advent to Iwasawa theory.
Iwasawa idea is a contemporary and strong department of quantity thought and will be traced again to the japanese mathematician Kenkichi Iwasawa, who brought the systematic research of Z_p-extensions and p-adic L-functions, focusing on the case of perfect category teams. Later this is able to be generalized to elliptic curves. during the last few a long time massive development has been made in automorphic Iwasawa thought, e.g. the facts of the most Conjecture for GL(2) through Kato and Skinner & city. innovations corresponding to Hida’s idea of p-adic modular varieties and massive Galois representations play a vital half. additionally a noncommutative Iwasawa conception of arbitrary p-adic Lie extensions has been built.
This quantity goals to offer a photograph of the country of artwork of Iwasawa concept as of 2012. specifically it bargains an creation to Iwasawa conception (based on a preparatory direction through Chris Wuthrich) and a survey of the facts of Skinner & city (based on a lecture path by means of Xin Wan).
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Iwasawa Theory 2012: State of the Art and Recent Advances (Contributions in Mathematical and Computational Sciences) by Athanasios Bouganis,Otmar Venjakob