$p$-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture (eBook)

Barry Mazur (Herausgeber)

eBook Download: PDF

2011
315 Seiten
American Mathematical Society (Verlag)
978-0-8218-7756-2 (ISBN)

Infos

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 "e;classical"e;) $L$-functions and their derivatives are relevant to arithmetic issues, as envisioned in "e;Birch-Swinnerton-Dyer-type conjectures"e;, "e;Main Conjectures"e;, and "e;Beilinson-type conjectures"e; a la Greenberg and Coates.

Produkt-Details

• Erscheint lt. Verlag: 11.1.2011
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 0-8218-7756-9 / 0821877569
• ISBN-13: 978-0-8218-7756-2 / 9780821877562