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
Description

Orateur(s) Oscar García-Prada - ICMAT, Madrid,
Titre Kähler–Yang–Mills equations and gravitating vortices
Date19/10/2021
Horaire14:00 à 15:00
Diffusion
RésumeWe introduce a system of differential equations coupling a Hermitian metric on a holomorphic vector bundle over a compact complex manifold and a Kähler metric on the manifold. We then study invariant solutions under the action of the group of rotations on the product of the Riemann sphere and a compact Riemann surface. This leads to the gravitating vortex equations, whose existence of solutions, relating in particular to Mumford’s Geometric Invariant Theory, is discussed
Salle15–25.502
AdresseJussieu
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