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) Elizabeth Wulcan - University of Gothenburg, Suède,
Titre Chern forms of metrics with analytic singularities
Horaire14:00 à 15:00
RésumeIn a recent paper Lärkäng, Raufi, Ruppenthal, and Sera constructed Chern forms, or rather currents, $c_k(E,h)$ associated with a Griffiths positive singular metric ℎ on a holomorphic vector bundle E, that is non-degenerate outside a variety of codimension at least $k$. I will discuss a joint work with Lärkäng, Raufi, and Sera, where we define Chern forms for any $k$ in the case when ℎ has analytic singularities. Our construction uses a generalized Monge-Ampère operator for plurisubharmonic functions with analytic singularities, recently introduced by Andersson and me. Moreover our Chern forms coincide with the Lärkäng-Raufi-Ruppenthal-Sera $c_k(E,h)$ when these are defined