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Euler systems

By: Material type: TextTextLanguage: English Series: Annals of mathematics studies ; 147Publication details: Princeton Princeton University Press 2000Description: xi, 227p. illISBN:
  • 9780691050768 (PB)
Subject(s):
Contents:
Chapter 1. Galois Cohomology of p-adic Representations Chapter 2. Euler Systems: Definition and Main Results Chapter 3. Examples and Applications Chapter 4. Derived Cohomology Classes Chapter 5. Bounding the Selmer Group Chapter 6. Twisting Chapter 7. Iwasawa Theory Chapter 8. Euler Systems and p-adic L-functions Chapter 9. Variants
Summary: One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.2+512.7 RUB (Browse shelf(Opens below)) Available 60127

Includes index

Includes bibliography (p. 219-221) and references

Chapter 1. Galois Cohomology of p-adic Representations Chapter 2. Euler Systems: Definition and Main Results Chapter 3. Examples and Applications Chapter 4. Derived Cohomology Classes Chapter 5. Bounding the Selmer Group Chapter 6. Twisting Chapter 7. Iwasawa Theory Chapter 8. Euler Systems and p-adic L-functions Chapter 9. Variants

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic.

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