Iwasawa Theory 2012

State of the Art and Recent Advances

Nonfiction, Science & Nature, Mathematics, Number Theory, Geometry
Cover of the book Iwasawa Theory 2012 by , Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783642552458
Publisher: Springer Berlin Heidelberg Publication: December 8, 2014
Imprint: Springer Language: English
Author:
ISBN: 9783642552458
Publisher: Springer Berlin Heidelberg
Publication: December 8, 2014
Imprint: Springer
Language: English

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 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).

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 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).

More books from Springer Berlin Heidelberg

Cover of the book Clinical Imaging of the Cerebello-Pontine Angle by
Cover of the book FBL Klein-Vogelbach Functional Kinetics praktisch angewandt by
Cover of the book Psychologie der Freiwilligenarbeit by
Cover of the book Unimolecular and Supramolecular Electronics I by
Cover of the book Pathology of Peripheral Nerves by
Cover of the book Brain and Behavior in Child Psychiatry by
Cover of the book Self-Organization in Electrochemical Systems I by
Cover of the book Learning and Intelligent Optimization by
Cover of the book Physics of Lakes by
Cover of the book Prozessinnovation erfolgreich anwenden by
Cover of the book Human Motion Sensing and Recognition by
Cover of the book Ärztlich assistierter Suizid und organisierte Sterbehilfe by
Cover of the book Immobilien-Benchmarking by
Cover of the book Aussage gegen Aussage in sexuellen Missbrauchsverfahren by
Cover of the book Molecular Magnets by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy