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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

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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