By Barry Mazur, Glenn Stevens

Fresh years have witnessed major breakthroughs within the concept of $p$-adic Galois representations and $p$-adic sessions of algebraic types. This ebook includes papers provided at the Workshop on $p$-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, held at Boston collage in August 1991. The workshop aimed to deepen realizing of the interdependence among $p$-adic Hodge concept, analogues of the conjecture of Birch and Swinnerton-Dyer, $p$-adic uniformization concept, $p$-adic differential equations, and deformations of Galois representations. a lot of the workshop used to be dedicated to exploring how the particular values of ($p$-adic and "classical") $L$-functions and their derivatives are proper to mathematics matters, as expected in "Birch-Swinnerton-Dyer-type conjectures", "Main Conjectures", and "Beilinson-type conjectures" à los angeles Greenberg and Coates.

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