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Integral representations of L-functions and spectral identities

Posted in
Speaker: 
Ramon Moreira Nunes
Affiliation: 
MPIM
Date: 
Wed, 01/12/2021 - 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Zoom ID: 919 6497 4060
For password please contact Pieter Moree (moree@mpim-bonn.mpg.de)

In recent years a lot of attention has been given to the study of spectral identities between moments of automorphic L-functions. Besides their intrinsic beauty, these formulas are also very powerful as one is able to deduce interesting information about moments without performing a delicate study of the geometric side of some trace formula. In this talk I will show some instances of spectral identities in the literature and show a recent result obtained jointly with Subhajit Jana on a higher rank spectral identity which relates mixed moments of certain Rankin--Selberg L-functions over
GL(n).

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