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Hoang-Chinh Lu, Monge-Ampère Volumes on Compact Hermitian Manifolds

May 4 @ 4:00 pm - 5:00 pm KST



Hoang-Chinh Lu
Université Paris-Saclay, Orsay
We investigate in depth the behaviour of Monge-Ampère volumes of quasi-psh functions on a given compact hermitian manifold. We prove that the property for these Monge-Ampère volumes to stay bounded away from zero or infinity is a bimeromorphic invariant. We show in particular that a conjecture of Demailly-Paun holds true if and only if such Monge-Ampère volumes stay bounded away from infinity. This is a joint work with Vincent Guedj.


May 4
4:00 pm - 5:00 pm KST
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Sungyeon Kim
Ngoc Cuong Nguyen (Dept. of Mathematical Sciences, KAIST)
IBS 복소기하학연구단 Center for Complex Geometry
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IBS Center for Complex Geometry
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