Spine title: Padic monodromy and Birch and SwinnertonDyer.

Includes bibliographical references.

On monodromy invariants occurring in global arithmetic, and Fontaine's theory ; A dic Shimura isomorphism and dic periods of modular forms ; Numerical solution of the dic hypergeometric equation ; Iwasawa unctions and the mysterious scr L nvariant ; dic variants of the Birch and SwinnertonDyer conjecture for elliptic curves with complex multiplication ; On standard dic unctions of families of elliptic cusp forms ; dic pairings ; Variation of the canonical height in algebraic families ; Kronecker's polynomial, supersingular elliptic curves, and dic periods of modular curves ; Trivial zeros of dic unctions ; Higher weight modular forms and Galois representations ; On the conjecture of Mazur, Tate, and Teitelbaum ; Formes modulaires et representations galoisiennes a valeurs dans un anneau local complet ; A dic conjecture about derivatives of eries attached to modular forms ; Euler systems and refined conjectures of Birch SwinnertonDyer type ; On dic unctions of Mumford curves B Mazur ; Robert F Coleman ; Robert Coleman and Jeremy Teitelbaum ; John W Jones ; Karl Rubin ; Koji Kitagawa ; KiSeng Tan ; Joseph H Silverman ; Ehud de Shalit ; Ralph Greenberg ; Bruce W Jordan ; Ralph Greenberg and Glenn Stevens ; Henri Carayol ; Naomi Jochnowitz ; Henri Darmon ; Christoph Klingenberg