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4 variable triple product p-adic L-functions

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Speaker: 
Shunsuke Yamana
Affiliation: 
Kyoto U./MPIM
Date: 
Wed, 2018-05-23 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

After Harris-Tilouine constructed one variable p-adic triple product L-functions, Darmon-Rotger constructed
three-variable p-adic triple product L-functions for three Hida families of elliptic newforms, using Ichino’s formula.
It interpolates central critical L-values, and outside the region of interpolation its special values are related to the image
of Gross-Schoen cycles under the p-adic Abel-Jacobi map.
This construction was refined by Greenberg-Seveso, Ming-Lun Hsieh and Isao Ishikawa.
In this talk I will add cyclotomic variable and construct four-variable p-adic triple product L-functions, which interpolate
all critical L-values in the balanced case, using Garret’s integral representation.
This refines the construction of the cyclotomic p-adic triple product L-functions by Boecherer-Panchishkin.
This is a joint work with Ming-Lun Hsieh. 

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