Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) : acg,
Responsables :O. Biquard, J. Cao, I. Itenberg, X. Ma
Email des responsables : vincent.michel@imj-prg.fr
Salle : Barre 15-25, 5ème étage, salle 02
Adresse :Campus Pierre et Marie Curie
Description

Orateur(s) Dan Coman - Syracuse University,
Titre Equidistribution and universality results for sequences of holomorphic line bundles
Date14/05/2019
Horaire14:00 à 15:00
RésumeWe study the asymptotic distribution of the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Kähler complex space. This is a generalization of our earlier results, by allowing the base space to be singular, and by considering sequences of line bundles instead of the sequence of powers of a fixed line bundle. We also prove a universality result in the above setting, which shows that, under mild moment assumptions, the symptotic distribution of zeros of random holomorphic sections is independent of the choice of probability measure on the space of holomorphic sections. We give several applications of this result, in particular to the distribution of zeros of random polynomials.
SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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