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) Nikhil Savale - Universität zu Köln,
Titre Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface
Date26/11/2019
Horaire14:00 à 15:00
Résume

We generalize the results of Montgomery for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel expansion and geometric quantization results for semi-positive line bundles whose curvature vanishes at finite order. The proof exploits the relation of the Bochner Laplacian on tensor powers with the sub-Riemannian (sR) Laplacian.
 

SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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