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, Boston University / [electronic resource] Barry Mazur, Glenn Stevens, editors. - Providence, R.I. : American Mathematical Society, c1994. - 1 online resource (xiii, 315 p. : ill.) - Contemporary mathematics, v. 165 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 165. .

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

Includes bibliographical references.

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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9780821877562 (online)


p-adic analysis--Congresses.
Homology theory--Congresses.
Birch-Swinnerton-Dyer conjecture--Congresses.

QA241 / .W655 1991

512/.74
The Institute of Mathematical Sciences, Chennai, India

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