Download E-books Iwasawa Theory 2012: State of the Art and Recent Advances (Contributions in Mathematical and Computational Sciences) PDF

This is the 5th convention in a bi-annual sequence, following meetings in Besancon, Limoges, Irsee and Toronto. The assembly goals to assemble assorted strands of analysis in and heavily concerning the realm of Iwasawa concept. throughout the week sooner than the convention in a type of summer time university a chain of preparatory lectures for younger mathematicians was once supplied as an creation to Iwasawa theory.

Iwasawa idea is a latest and robust department of quantity conception and will be traced again to the japanese mathematician Kenkichi Iwasawa, who brought the systematic examine 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 many years huge development has been made in automorphic Iwasawa concept, e.g. the evidence of the most Conjecture for GL(2) by means of Kato and Skinner & city. ideas equivalent to Hida’s conception of p-adic modular varieties and massive Galois representations play an important half. additionally a noncommutative Iwasawa concept of arbitrary p-adic Lie extensions has been constructed.

This quantity goals to provide a image of the country of artwork of Iwasawa concept as of 2012. particularly it bargains an advent to Iwasawa thought (based on a preparatory direction via Chris Wuthrich) and a survey of the evidence of Skinner & city (based on a lecture path through Xin Wan).

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