Séminaire de Géométrie Complexe

A relative Yau-Tian-Donaldson conjecture

by Antonio Trusiani (IMT)

Pellos (IMT)




In the first part of the talk the set of Kähler-Einstein metrics with prescribed singularities
and a new relative K-stability notion will be defined. A particular focus will be given to
the motivations and intuitions, making a comparison with the log K-stability/log Kähler-
Einstein metrics. The two notions mentioned above will then be related to each other
through a Yau-Tian-Donaldson correspondence, which will be the core of the talk. Time
permitting, a further discussion on some future developments will conclude the talk.