Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :



Orateur(s) Gregorio Baldi - IHES,
Titre The Hodge locus
Horaire14:00 à 15:00
RésumeI will report on a joint work with Klingler and Ullmo. Given a polarizable variation of Hodge structures on a smooth quasi-projective variety S (e.g. the one associated to a family of pure motives over S), Cattani, Deligne and Kaplan proved that its Hodge locus (the locus of closed points of S where exceptional Hodge tensors appear) is a *countable* union of closed algebraic subvarieties of S. I will discuss when this Hodge locus is actually algebraic. If time permits I will explain how a similar circle of ideas can be used to produce a genus four curve of ''Mumford’s type'' (thus answering a question of Gross/Serre).