Date/heure
13 janvier 2025
14:00 - 15:00
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Yuan Liu
Catégorie d'évènement Séminaire de géométrie complexe
Résumé
The Shafarevich conjecture asks whether the universal covering of a compact Kähler manifold is holomorphically convex. In this work, we explore a similar question regarding the holomorphic convexity of intermediate coverings. We prove that if the intermediate covering of a compact Kähler surface admits a faithful reductive representation for its covering group and does not have two ends, then it is holomorphically convex. The main techniques employed include the analysis of the degeneracy loci of the Levi form and the properties of subanalytic functions.