A relative Yau-Tian-Donaldson conjecture

Antonio Trusiani (Institut de Mathématiques de Toulouse)

Monday 7th November, 2022 16:00-17:00 Maths 311B

Abstract

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 introduced. 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.

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