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
Author(s)
Bibliographic Information
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
(Contemporary mathematics, v. 165)
American Mathematical Society, c1994
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P-adic monodromy and the Birch and Swinnerton-Dyer
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Note
"The conference on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture was held at Boston University, Boston, Massachusetts, August 12-16, 1991, with support from the National Science Foundation, Grant DMS-9109048, and the Mathematics Trust of Harvard University"--T.p. verso
Includes bibliographical references
Description and Table of Contents
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 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'' \a la Greenberg and Coates.
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