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The L^2 restriction norm of a GL(n) Maass form

来源:太阳集团tcy8722网站 发布时间:2019-06-06   474

Title: The L^2 restriction norm of a GL(n) Maass form 

Speaker: Prof. Shengchi Liu (Washington State University)

Time: 10:00-12:00am, June 11 

Location: Room 200-9, Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus 

Abstract: In this talk, I will discuss the L^2 restriction norm of a Maass form on GL(n+1) restricted to GL(n). Using the spectral decomposition on GL(n) and the Rankin-Selberg method, we are led naturally to a family of GL(n+1)XGL(n) L-functions. We give sharp upper and lower bounds for the restriction norm under certain assumptions (i.e., the Lindelof hypothesis, the weighted local Weyl law and others). This is joint work with Xiaoqing Li and Matthew Young.. 

Contact Person: Zhi Qi (zhi.qi@zju.edu.cn)

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