Monday, February 23 at 4 pm in MS 6229

Speaker: Hisa Kawamura, Hokkaido U.

Title: On p-adic congruences of the Duke-Imamoglu-Ikeda lifts

Abstract: In the 1970's, Serre developed the theory of $p$-adic modular forms in one variable and applied it to the construction of $p$-adic zeta-function. Afterwards many researchers generalized it toward the case of several variables. As for Siegel modular forms of higher genus, $p$-adic Siegel Eisenstein series were considered by Nagaoka and Pantchichkine. In this talk, I would like to talk about some congruence properties modulo a prime between a couple of cuspidal Siegel modular forms of higher genus which are both connected to cuspidal modular forms in one variable via Ikeda's lifting procedure. This work is expected to be closely related to some constructions of $p$-adic families of cuspidal Siegel modular forms of higher genus.