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Sheng-Chi Liu

2012-01-03
12:00:00 - 13:10:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

A Siegel modular form, when restricted to a certain natural submanifold of Siegel's upper half space, is essentially a classical elliptic modular form in each of two variables. In the special case that the Siegel form is a Saito-Kurokawa lift, Ichino gave a formula which explicitly decomposes this restricted Siegel form into elliptic modular forms; the formula involves central values of Rankin-Selberg L- functions on GL3 x GL2. I will talk about some recent results on the average behavior of these L-functions which give some information on how the restricted Siegel form usually behaves. This is joint work with Matt Young