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

Speaker:

Shunsuke Yamana

Affiliation:

Osaka Metropolitan University

Date:

Fri, 02/02/2024 - 14:00 - 15:00

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

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 [4]