STNB - Seminari de Teoria de Nombres de Barcelona - STNB2020(34è any) - Anticyclotomic p-adic L-functions and Darmon points

STNB2020(34è any)

Anticyclotomic p-adic L-functions and Darmon points

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Resumen

I will explain a work on progress with my PhD student V. Hernández where we generalize the construction of anticyclotomic p-adic L-functions, and we try to generalize a theorem of Bertolini-Darmon ralating the derivative of such p-adic L-functions with certain Darmon points. This will provide a p-adic Gross-Zagier formula for Darmon points.

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