000			02344nam a22003135i 4500
001			66587
005			20210510160110.0
010			_a978-3-642-55245-8 _dcompra
090			_a66587
100			_a20150401d2014 k||y0pory50 ba
101			_aeng
102			_aDE
200			_aIwasawa theory 2012 _bDocumento electrónico _estate of the art and recent advances _fedited by Thanasis Bouganis, Otmar Venjakob
210			_aBerlin, Heidelberg _cSpringer Berlin Heidelberg _d2014
215			_aXII, 483 p.
225			_aContributions in Mathematical and Computational Sciences
300			_aColocação: Online
303			_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 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).
606			_99611 _aTeoria dos números algébricos
606			_94874 _aTeoria de Galois
680			_aQA247
702			_958246 _aBouganis _bThanasis _4340
702			_958247 _aVenjakob _bOtmar _4340
801			_aPT _gRPC
856			_uhttp://dx.doi.org/10.1007/978-3-642-55245-8
942			_2lcc _cF _n0