Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Lundi 19 Mars 2018
Heure 14:30
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Parreau
Prenom de l'orateur Anne
Addresse email de l'orateur
Institution de l'orateur Université Grenoble Alpes
Titre Geodesic currents, positive cross-ratios and degenerations of maximal representations
Résumé Degenerations of maximal representations of a surface group may be seen as maximal representations in Sp(2n,F) for some non-Archimedean real closed field F. We associate to every such maximal representation a geodesic current whose intersection number is the length function of the representation for the L^1 norm. When the current is a measured lamination, we reconstruct an equivariant isometric embedding of the dual real tree in the Bruhat-Tits building of Sp(2n,F). This involves a general construction of an intersection current associated to a non necessarily continuous positive cross-ratio. This is joint work with Marc Burger, Alessandra Iozzi, and Beatrice Pozzetti.
Numéro de preprint arXiv
Commentaires Séminaire Géométrie et groupes discrets
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