Kęstutis Česnavičius, Marc Hindry, Wieslawa Nizioł, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
Amina Abdurrahman - IHES,
Titre
A cohomological formula for symplectic $L$-functions and applications
Date
18/05/2026
Horaire
14:00 à 15:00
Diffusion
Résume
I will present a topological perspective on the order of the Tate-Shafarevich group up to squares as an application of a formula established in previous joint work with A. Venkatesh which gives a cohomological expression for the central value of symplectic $L$-functions on curves. I will sketch ideas of the proofs, and in particular the analogous picture in topology that is crucial in the arithmetic proofs.
