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P-adic monodromy and the Birch and Swinnerton-Dyer conjecture : [electronic resource] a Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, August 12-16, 1991, Boston University / Barry Mazur, Glenn Stevens, editors.

By: Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture (1991 : Boston University)Contributor(s): Mazur, Barry | Stevens, Glenn, 1953-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 165.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (xiii, 315 p. : ill.)ISBN: 9780821877562 (online)Subject(s): p-adic analysis -- Congresses | Homology theory -- Congresses | Birch-Swinnerton-Dyer conjecture -- CongressesAdditional physical formats: P-adic monodromy and the Birch and Swinnerton-Dyer conjecture :DDC classification: 512/.74 LOC classification: QA241 | .W655 1991Online resources: Contents | Contents

Contents:

On monodromy invariants occurring in global arithmetic, and Fontaine's theory / B. Mazur -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01599 A $p$-adic Shimura isomorphism and $p$-adic periods of modular forms / Robert F. Coleman -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01602 Numerical solution of the $p$-adic hypergeometric equation / Robert Coleman and Jeremy Teitelbaum -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01603 Iwasawa $L$-functions and the mysterious ${\scr L}$-invariant / John W. Jones -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01609 $p$-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication / Karl Rubin -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01614 On standard $p$-adic $L$-functions of families of elliptic cusp forms / Koji Kitagawa -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01611 $p$-adic pairings / Ki-Seng Tan -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01616 Variation of the canonical height in algebraic families / Joseph H. Silverman -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01615 Kronecker's polynomial, supersingular elliptic curves, and $p$-adic periods of modular curves / Ehud de Shalit -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01605 Trivial zeros of $p$-adic $L$-functions / Ralph Greenberg -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01606 Higher weight modular forms and Galois representations / Bruce W. Jordan -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01610 On the conjecture of Mazur, Tate, and Teitelbaum / Ralph Greenberg and Glenn Stevens -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01607 Formes modulaires et repr�esentations galoisiennes �a valeurs dans un anneau local complet / Henri Carayol -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01601 A $p$-adic conjecture about derivatives of $L$-series attached to modular forms / Naomi Jochnowitz -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01608 Euler systems and refined conjectures of Birch Swinnerton-Dyer type / Henri Darmon -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01604 On $p$-adic $L$-functions of Mumford curves / Christoph Klingenberg -- http://www.ams.org/conm/165/ http://dx.doi.org/10.1090/conm/165/01612

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Spine title: P-adic monodromy and Birch and Swinnerton-Dyer.

Includes bibliographical references.

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