STNB2017, (31st edition)

$p$-adic analog of BSD conjecture.

Presenters

Oscar Rivero

Abstract

This talk does not involve Hida families, but will present the basic type of question that we want to look at in this course. Construction of the $p$-adic $L$-function attached to a $p$-allowable stabilized eigenforms I.\S13 (announce the theorem of Vishik, Amice-V\'elu I.\S11). Present the functional equation II.\S17. Formulate the p-adic BSD conjecture II.\S10. Formulate the exceptional zero conjecture II.\S13. Reference[MTT86]

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