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 Hidäs 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).
