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P-adic monodromy and the Birch and Swinnerton-Dyer conjecture : a Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, August 12-16, 1991 / Barry Mazur, Glenn Stevens, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, Corporate Author.
- Conference Name:
- Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture (1991 : Boston University)
- Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture
- Series:
- Contemporary mathematics (American Mathematical Society). 0271-4132 165
- Contemporary mathematics, 165 0271-4132
- Language:
- English
- Subjects (All):
- p-adic analysis--Congresses.
- p-adic analysis.
- Homology theory--Congresses.
- Homology theory.
- Birch-Swinnerton-Dyer conjecture--Congresses.
- Birch-Swinnerton-Dyer conjecture.
- Physical Description:
- 1 online resource (xiii, 315 pages) : illustrations.
- Edition:
- 1st ed.
- Other Title:
- P-adic monodromy and Birch and Swinnerton-Dyer.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1994]
- Language Note:
- English
- Summary:
- Recent years have witnessed significant breakthroughs in the theory of p-adic Galois representations and p-adic periods of algebraic varieties. This book contains papers presented at the Workshop on p-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, held at Boston University in August 1991. The workshop aimed to deepen understanding of the interdependence between p-adic Hodge theory, analogues of the conjecture of Birch and Swinnerton-Dyer, p-adic uniformization theory, p-adic differential equations, and deformations of Galois representations. Much of the workshop was devoted to exploring how the special values of (p-adic and "classical") L-functions and their derivatives are relevant to arithmetic issues, as envisioned in "Birch-Swinnerton-Dyer-type conjectures", "Main Conjectures", and "Beilinson-type conjectures" à la Greenberg and Coates.
- Contents:
- Intro
- Contents
- Preface
- List of Talks
- On monodromy invariants occurring in global arithmetic, and Fontaine's theory
- A p-adic Shimura isomorphism and p-adic periods of modular forms
- Numerical solution of the p-adic hypergeometric equation
- Iwasawa L-functions and the mysterious L-invariant
- p-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication
- On standard p-adic L-functions of families of elliptic cusp forms
- p-adic pairings
- Variation of the canonical height in algebraic families
- Kronecker's polynomial, supersingular elliptic curves, and p-adic periods of modular curves
- Trivial zeros of p-adic L-functions
- Higher weight modular forms and Galois representations
- On the conjecture of Mazur, Tate, and Teitelbaum
- Formes modulaires et représentations Galoisiennes à valeurs dans un anneau local complet
- A p-adic conjecture about derivatives of L-series attached to modular forms
- Euler systems and refined conjectures of Birch Swinnerton-Dyer type
- On p-adic L-functions of Mumford curves.
- Notes:
- Spine title: P-adic monodromy and Birch and Swinnerton-Dyer.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7756-9
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