Séminaire à venir - Novembre 2026
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger l'affiche du mois: novembre.pdf.
- 18/11/2026 - Gregorio Baldi (IMJ-PRG)
salle Maurice Frechet (ex-salle 05)
Titre: Murphy's
Law in non-abelian Hodge theory
Resumé: In
this joint work with J. Lam, we discuss explicit examples of
non-integral variations of Q-Hodge structures. Our approach leverages
Fenchel--Nielsen-type parameterizations, due to Kabaya and Maskit, of
the Teichmüller component of relative character varieties.
Additionally, we discuss various Diophantine results concerning the
\(O_{K,S}\)-integral points of such character varieties, and give a new
proof of Beauville's classical theorem on families of elliptic curves.
If time permits, pathological behaviors of the Hodge locus of
non-integral QVHS will also be presented.