PLEASE NOTE THE DATE! p-adic L-functions for U(3)xU(2) and U(2,1)xU(1,1)

This is a joint work with Ming-Lun Hsieh and Michael Harris.
The anticyclotomic p-adic L-functions for U(2)xU(1) and U(1,1)xU(1) were constructed by using the Waldspurger formula and applied to the Iwasawa main conjecture
and the Bloch-Kato conjecture by Bertolini-Darmon, Chida-Hsieh and Bertolini-Darmon-Prasanna.
In this talk I will explain a construction of five variable p-adic L-functions for U(3)xU(2) and a partial result toward U(2,1)xU(1,1) by using the Ichino-Ikeda formula. 

The preprint for U(3)xU(2) can be found in https://arxiv.org/abs/2311.17661