Title: Existence of twisted Kahler-Einstein metrics in big classes
Speaker: Tamas Darvas (University of Maryland)
Date: 21 September 2022
Time: 6:30 pm
Venue: Microsoft Teams (online)
We prove existence of twisted Kähler-Einstein metrics in big cohomology classes, using a divisorial stability condition.
In particular, when -K_X is big, we obtain a uniform Yau-Tian-Donaldson existence theorem for Kähler-Einstein metrics.
To achieve this, we build up from scratch the theory of Fujita-Odaka type delta invariants in the transcendental big setting,
using pluripotential theory. This is joint work with Kewei Zhang.