Room 505, Cosmology Building, NTU
(臺灣大學次震宇宙館 505室)
On P-adic L-Functions for U(2,1) x U(1,1)
Ming-Lun Hsieh (National Taiwan University)
Abstract
In this talk, I will explain a construction of a five-variable p-adic L-function associated with Hida families on U(2,1)×U(1, 1).
This construction consists of two steps:
(i) the p-adic interpolation of the GGP period integrals for Hida families on U(2,1)xU(1,1);
(ii) the explicit evaluation of GGP period integrals via the the Ichino-Ikeda formula.
I will primarily focus on some key ingredients in the step (i), in particular, the use of p-integrality of the Taylor expansion of CM theta functions due to K. Bannai and S. Kobayashi. This is a joint with M. Harris and S. Yamana.
Organizer: Ming-Lun Hsieh (NTU)
