## STNB2017(31è any)

### $p$-adic analog of BSD conjecture.

Oscar Rivero

#### Resum

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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