Kewei Zhang:Solving Monge-Ampere equations using stability thresholds (1)

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Kewei Zhang，Peking University
Inviter:
Title:	Solving Monge-Ampere equations using stability thresholds (1)
Time & Venue:	2021.04.03 16:00-17:00 N702室
Abstract:	The existence of Kahler-Einstein metrics is equivalent to the solvability of certain complex Monge-Ampere equations, which however is often obstructed by certain stability conditions of the under lying manifold. In this series of talks we will present a quantization approach that directly relates certain stability thresholds to the existence Kahler-Einstein metrics. This approaches simplifies some arguments in the Yau-Tian-Donaldson literature and also yields some new criteria for the existence of canonical metrics.