On p-adic L-functions for U(3)xU(2)


The Ichino-Ikeda conjecture is an explicit relation between the central L-value and squares of a certain period of automorphic forms.
This conjecture has been established by Beuzart-Plessis, Yifeng Liu, Wei Zhang, Xinwen Zhu, Chaudouard and Zydor for unitary groups. I will report on a joint work in progress with Michael Harris and Ming-Lun Hsieh on the construction of $p$-adic L-functions for $U(3)\times U(2)$ via the Ichino-Ikeda conjecture.