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The purpose of this article is to give an overview of the series of papers[BK1], [BK2] concerning the $p$-adic Beilinson conjecture of motives associatedto Hecke characters of an imaginary quadratic field $K$, for a prime $p$ whichsplits in $K$.

$p$-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields