BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Hida families and triple product \(p\)-adic \(L\)-functions Hsieh, Ming-Lun


In this talk, we will present a construction of the three-variable \(p\)-adic \(L\)-function attached to the triple product of three Hida families. This \(p\)-adic \(L\)-function is a three-variable power series with \(p\)-integral coefficients interpolating central \(L\)-values of triple product \(L\)-functions in the balanced case. We will give the explicit interpolation formula at all critical specialisations and discuss some problems on this \(p\)-adic \(L\)-function.

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