Séminaire de Géométrie Complexe
# A relative Yau-Tian-Donaldson conjecture

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Europe/Paris

Pellos (IMT)
### Pellos

#### IMT

Description

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.