Automorphic periods and sum of L-values
Weixiao Lu
I2M- CNRS
https://weixiao-lu.github.io/
https://weixiao-lu.github.io/
Date(s) : 30/09/2025 iCal
14h00 - 15h00
The relative Langlands duality posed by Ben-Zvi-Sakellaridis-Venkatesh predicts that periods of automorphic form can sometimes equal to sum of several special values of automorphic L-functions rather than a single one. In this talk, I will present explicit evidence for this phenomenon. I will discuss families of automorphic periods on general linear groups and classical groups that are designed to detect specific types of Eisenstein series. I will show that these periods indeed evaluate to finite sums of L-values. This is joint work with Guodong Xi.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
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