EVENT DETAILS AND ABSTRACT

Title: Northwestern-UIC Complex Geometry Seminar: Existence of twisted Kähler-Einstein metrics in big classes
Speaker: Tamás Darvas
Speaker Info: University of Maryland
Brief Description:
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Abstract:

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.