Séminaire de l’équipe AGA
Responsables : F. SCAVIA, M. TAMIOZZO
Vendredi 27 mars 2026
10:30 Simone Coccia (Universität Basel) 
Résumé
Density of integral points on character varieties
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13Given a smooth quasi-projective complex variety Y with a simple normal crossings compactification, a (relative) SL_2-character variety of Y is a moduli space parametrizing SL_2-local systems on Y with fixed traces along the boundary components. Well-known examples of SL_2-character varieties are Markoff-type cubic surfaces, and in recent years the study of their integral points has attracted much attention, notably with the work of Bourgain, Gamburd and Sarnak. In this talk I will present joint work with Daniel Litt where we prove that, for any variety Y as above, integral points are potentially Zariski dense in the character varieties parametrizing SL_2-local systems on Y with fixed algebraic integer traces along the boundary components. The proof uses work of Corlette-Simpson to reduce to the case of Y a Riemann surface, where we produce an integral point whose orbit under the mapping class group action is Zariski dense.
Vendredi 3 avril 2026
10:30 Margot Bruneaux (Université Claude Bernard Lyon)
Titre bientôt disponible
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Vendredi 10 avril 2026
10:30 Ambrus Pál (Imperial College London)
Titre bientôt disponible
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Vendredi 17 avril 2026
10:30 Remy van Dobben de Bruyn (Max Planck Institute for Mathematics (Bonn))
Titre bientôt disponible
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
