Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) Sara Arias-de-Reyna - ,
Titre Compatible systems of symplectic Galois representations and the inverse Galois problem
Date13/10/2014
Horaire14:00 à 16:00
RésumeIn this talk I will discuss joint work with L. Dieulefait, S.W. Shin and G. Wiese on compatible systems of symplectic Galois representations attached to automorphic forms, leading to the realisation as Galois groups over $\mathbb{Q}$ of groups of the form $\mathrm{PSp}_{2n}(\mathbb{F}_{\ell^d})$ or $\mathrm{PGSp}_{2n}(\mathbb{F}_{\ell^d})$ for a prefixed exponent~$d$, a prefixed integer~$n$, and a positive density set of prime numbers~$\ell$.
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