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Applications of the GL(3) Kuznetsov trace formula

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Speaker: 
Joao Guerreiro
Affiliation: 
MPIM
Date: 
Mon, 19/12/2016 - 10:40 - 11:25
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar
The Kuznetsov trace formula on SL(3,Z) has yielded many number theoretic 
applications, such as results on the distribution of Maass forms and on 
symmetry types of families of L-functions. I will give an overview of this 
trace formula, focusing on the analysis of its geometric terms, and describe 
how one can obtain an orthogonality relation for the Fourier-Whittaker 
coefficients of a "thin" family of Maass forms.
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