000			02119nam a22002537a 4500
008			220412b2014 |||||||| |||| 00| 0 eng d
020			_a9783662512210
082			_a512.74 BOU-T
100			_aBouganis, Thanasis
245			_aIwasawa Theory 2012 : _bstate of the art and recent advances / _cedited by Thanasis Bouganis and Otmar Venjakob
260			_aNew York _bSpringer _c2014
300			_a483 p.
365			_aEU _b119.99.
500			_aThis is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school, a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa theory. Iwasawa theory is a modern and powerful branch of number theory and can be traced back to the Japanese mathematician Kenkichi Iwasawa, who introduced the systematic study of Z_p-extensions and p-adic L-functions, concentrating on the case of ideal class groups. Later this would be generalized to elliptic curves. Over the last few decades, considerable progress has been made in automorphic Iwasawa theory, e.g. the proof of the Main Conjecture for GL(2) by Kato and Skinner & Urban. Techniques such as Hida’s theory of p-adic modular forms and big Galois representations play a crucial part. Also, a noncommutative Iwasawa theory of arbitrary p-adic Lie extensions has been developed. This volume aims to present a snapshot of the state of the art of Iwasawa theory as of 2012. In particular, it offers an introduction to Iwasawa theory (based on a preparatory course by Chris Wuthrich) and a survey of the proof of Skinner & Urban (based on a lecture course by Xin Wan).
650			_aIwasawa theory
650			_aNumber theory
650			_aTopological groups
650			_aAlgebra
650			_aFunctions of complex variables
650			_aGeometry, Algebraic
650			_aK-theory
650			_aMathematics
700			_aVenjakob, Otmar
999			_c78920 _d78920