Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu

Orateur(s) Omid Amini - Ecole Polytechnique,
Titre Moduli of hybrid curves and variations of canonical measures
Horaire15:45 à 17:00
RésumeConsider a sequence of smooth compact Riemann surfaces of genus g whose corresponding points in the moduli space Mg converge to a point in the Deligne–Mumford compactification. We consider the following question: what is the limit of the associated sequence of Arakelov-Bergman measures? Combining graph theory, tropical non-archimedean geometry and Hodge theory, we obtain a full answer and a new compactification of the moduli spaces of curves. Joint work with Noema Nicolussi (École Polytechnique).