This 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 non-commutative 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)."
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