【数论系列报告四】Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts
讲座名称：
【数论系列报告四】Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts
讲座时间：
2017-06-05
讲座人：
刘昇吉
形式：
校区：
兴庆校区
实践学分：
讲座内容：
讲座题目: Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts
讲座时间: 2017.06.05 (周一) 下午16:40 – 18:10
讲座地点: 理科楼407室
讲座人：刘昇吉教授
讲座摘要:
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 GL(3)*GL(2). I will talk about some 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.
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