STNB2018 (32è any)

Big Heegner points and some cases of the Bloch-Kato conjecture


Francesc Fité Naya


In this talk, we will explain Castellà's result on some rank 0 cases of the Bloch-Kato conjecture for twists of newforms by certain anticyclotomic Hecke characters. The strategy of the proof combines: 1) the existence of a big $p$-adic regulator map that connects the $p$-adic $L$-function introduced in the second talk with the Big Heegner point defined in the third talk, and 2) Fouquet's generalization of the Kolyvagin method seen in the first talk.


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