P-adic monodromy and the Birch and Swinnerton-Dyer conjecture
Subtitle: a Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, August 12-16, 1991, Boston University
By: Barry Mazur, Glenn Stevens, editors.
Contributors: Mazur, Barry.; Stevens, Glenn, 1953-
Series: Contemporary mathematics ;; v. 165; Contemporary mathematics (American Mathematical Society) ;; v. 165.
Publisher: American Mathematical Society
Published: 1994
Place of publication: Providence, R.I
Language: eng
Number of pages: 315
Subjects: p-adic analysis -- Congresses.; Homology theory -- Congresses.; Birch-Swinnerton-Dyer conjecture -- Congresses.
Other titles: P-adic monodromy and Birch and Swinnerton-Dyer.
Description: 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 Gaels 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" a la Greenberg and Coates.
Notes: Includes bibliographical references.
Spine title: P-adic monodromy and Birch and Swinnerton-Dyer.