Séminaire Analyse Harmonique
Singular Gauduchon metrics
06
déc. 2021
déc. 2021
Intervenant : | Chung-Ming Pan |
Institution : | Institut de Mathématiques de Toulouse |
Heure : | 14h00 - 15h00 |
Lieu : | Orsay, Bâtiment 307, salle 2L8 |
Gauduchon metrics are useful generalizations of Kähler metrics in non-Kähler geometry. In this talk, we will present the work in which we obtain the existence of Gauduchon metrics on compact hermitian varieties admitting a smoothing. This result generalizes Gauduchon’s theorem which says that on a compact complex manifold, one can find a Gauduchon metric in every conformal class of hermitian metrics. If time permits, we will explain an application that gives a partial solution to a conjecture proposed by Di Nezza-Guedj-Guenancia.