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Contributions in Mathematical and Computational Sciences

Iwasawa Theory 2012

State of the Art and Recent Advances

Editors: Bouganis, Athanasios, Venjakob, Otmar (Eds.)

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eBook 101,14 €
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  • ISBN 978-3-642-55245-8
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Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-642-55244-1
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  • Usually dispatched within 3 to 5 business days.
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Softcover 124,79 €
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  • ISBN 978-3-662-51221-0
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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).

Table of contents (16 chapters)

  • Overview of Some Iwasawa Theory

    Wuthrich, Christian

    Pages 3-34

    Preview Buy Chapter 30,19 €
  • Introduction to Skinner-Urban’s Work on the Iwasawa Main Conjecture for GL2

    Wan, Xin

    Pages 35-61

    Preview Buy Chapter 30,19 €
  • On Extra Zeros of p-Adic L-Functions: The Crystalline Case

    Benois, Denis

    Pages 65-133

    Preview Buy Chapter 30,19 €
  • On Special L-Values Attached to Siegel Modular Forms

    Bouganis, Thanasis

    Pages 135-176

    Preview Buy Chapter 30,19 €
  • Modular Symbols in Iwasawa Theory

    Fukaya, Takako (et al.)

    Pages 177-219

    Preview Buy Chapter 30,19 €

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-3-642-55245-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-642-55244-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-662-51221-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Iwasawa Theory 2012
Book Subtitle
State of the Art and Recent Advances
Editors
  • Athanasios Bouganis
  • Otmar Venjakob
Series Title
Contributions in Mathematical and Computational Sciences
Series Volume
7
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-55245-8
DOI
10.1007/978-3-642-55245-8
Hardcover ISBN
978-3-642-55244-1
Softcover ISBN
978-3-662-51221-0
Series ISSN
2191-303X
Edition Number
1
Number of Pages
XII, 483
Topics