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Iwasawa Theory and Its Perspective, Volume 2
 
Tadashi Ochiai Tokyo Institute of Technology, Tokyo, Japan
Softcover ISBN:  978-1-4704-5673-3
Product Code:  SURV/280
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7726-4
Product Code:  SURV/280.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-5673-3
eBook: ISBN:  978-1-4704-7726-4
Product Code:  SURV/280.B
List Price: $260.00 $197.50
MAA Member Price: $234.00 $177.75
AMS Member Price: $208.00 $158.00
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Iwasawa Theory and Its Perspective, Volume 2
Tadashi Ochiai Tokyo Institute of Technology, Tokyo, Japan
Softcover ISBN:  978-1-4704-5673-3
Product Code:  SURV/280
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7726-4
Product Code:  SURV/280.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-5673-3
eBook ISBN:  978-1-4704-7726-4
Product Code:  SURV/280.B
List Price: $260.00 $197.50
MAA Member Price: $234.00 $177.75
AMS Member Price: $208.00 $158.00
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 2802024; 211 pp
    MSC: Primary 11; 13

    Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to \(p\)-adic \(L\)-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory.

    The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of \(p\)-adic Galois representations.

    Readership

    Graduate students and researchers interested in number theory and arithmetic geometry.

  • Table of Contents
     
     
    • Chapters
    • Introduction to cyclotomic Iwasawa theory of elliptic curves
    • Framework of cyclotomic Iwasawa theory for $p$-adic Galois representations
    • Known results on cyclotomic Iwasawa theory for $p$-adic representations
    • Appendix A
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2802024; 211 pp
MSC: Primary 11; 13

Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to \(p\)-adic \(L\)-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory.

The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of \(p\)-adic Galois representations.

Readership

Graduate students and researchers interested in number theory and arithmetic geometry.

  • Chapters
  • Introduction to cyclotomic Iwasawa theory of elliptic curves
  • Framework of cyclotomic Iwasawa theory for $p$-adic Galois representations
  • Known results on cyclotomic Iwasawa theory for $p$-adic representations
  • Appendix A
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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